How do I concatenate two System.IO.Stream instances into one?

Edit: Made it clear this is a seekable option.

Here is an option that supports seeking which is necessary in many situations. It is missing some functionality for disposing the underlying streams and could be a little more efficient if you were willing to assume that the underlying streams do not change length. Total length and stream offsets could then be calculated once.

public sealed class SeekableConcatenatedStream : Stream
{
    List<Stream> streams;
    private long _Position { get; set; }

    public SeekableConcatenatedStream(List<Stream> streams)
    {
        foreach (var s in streams)
        {
          if (!s.CanSeek)
              throw new ArgumentException($"All provided streams must be be seekable to create a {nameof(SeekableConcatenatedStream)}");
        }

        this.streams = streams;
        Seek(0, SeekOrigin.Begin);
    }

    public override bool CanRead
    {
        get { return true; }
    }

    public override int Read(byte[] buffer, int offset, int count)
    {
        if (streams.Count == 0)
            return 0;

        var startStream = 0;
        var cumulativeCapacity = 0L;
        for (var i = 0; i < streams.Count; i++)
        {
            cumulativeCapacity += streams[i].Length;
            if (_Position < cumulativeCapacity)
            {
                startStream = i;
                break;
            }
        }

        var bytesRead = 0;
        var curStream = startStream;

        while (_Position < Length && bytesRead < count && curStream < streams.Count)
        {
            var r = streams[curStream].Read(buffer, offset + bytesRead, count - bytesRead);
            bytesRead += r;
            Seek(_Position + r, SeekOrigin.Begin);
            curStream++;
        }

        return bytesRead;
    }

    public override bool CanSeek
    {
        get { return true; }
    }

    public override bool CanWrite
    {
        get { return false; }
    }

    public override void Flush()
    {
        throw new NotImplementedException();
    }

    public override long Length
    {
        get {
            long length = 0;
            for (var i = 0; i < streams.Count; i++)
            {
                length += streams[i].Length;
            }
            return length;
        }
    }

    public override long Position
    {
        get
        {
            return _Position;
        }
        set
        {
            Seek(value, SeekOrigin.Begin);
        }
    }

    public override long Seek(long offset, SeekOrigin origin)
    {
        if (origin == SeekOrigin.Begin)
        {
            _Position = offset;

            var prevLength = 0L;
            var cumulativeLength = 0L;
            for (var i = 0; i < streams.Count; i++)
            {
                cumulativeLength += streams[i].Length;
                if (offset < cumulativeLength)
                {
                    streams[i].Seek(offset - prevLength, SeekOrigin.Begin);
                    return _Position;
                }
                prevLength = cumulativeLength;
            }
        }

        if (origin == SeekOrigin.Current)
        {
            var newAbs = _Position + offset;
            return Seek(newAbs, SeekOrigin.Begin);
        } 
        else if(origin == SeekOrigin.End)
        {
            var newAbs = Length - offset;
            return Seek(newAbs, SeekOrigin.Begin);
        }

        throw new NotImplementedException();
    }

    public override void SetLength(long value)
    {
        throw new NotImplementedException();
    }

    public override void Write(byte[] buffer, int offset, int count)
    {
        throw new NotImplementedException();
    }
}