WriteTo

private const int DefaultBufferSize = 0x1000;

        /// <summary>
        /// Writes the entire contents of this stream to another stream using a buffer.
        /// </summary>
        /// <param name="sourceStream">The source stream.</param>
        /// <param name="stream">The stream to write this stream to.</param>
        /// <param name="bufferSize">Size of the buffer.</param>
        /// <remarks>
        /// The size of the buffer is 4096 bytes
        /// </remarks>
        public static void WriteTo(this Stream sourceStream, Stream stream)
        {
            WriteTo(sourceStream, stream, DefaultBufferSize);
        }

        /// <summary>
        /// Writes the entire contents of this stream to another stream using a buffer
        /// with the specified size.
        /// </summary>
        /// <param name="sourceStream">The source stream.</param>
        /// <param name="stream">The stream to write this stream to.</param>
        /// <param name="bufferSize">Size of the buffer.</param>
        public static void WriteTo(this Stream sourceStream, Stream stream, int bufferSize)
        {
            byte[] buffer = new byte[bufferSize];
            int n;
            while ((n = sourceStream.Read(buffer, 0, buffer.Length)) != 0)
                stream.Write(buffer, 0, n);

        }
Example: 
public static void CompressTo(Stream sourceStream, Stream stream)
        {
            using (GZipStream zipStream = new GZipStream(stream, CompressionMode.Compress, true))
                sourceStream.WriteTo(zipStream);
        }

Description

Writes the entire contents of this stream to another stream using a buffer.

Details

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