You might want to review before assuming anything about speeds.
Local Area Connection 3
Speed: 10.0 Mbps
Status: Connected
This just means that you have a 10Mbps (10,000,000 bits per second) network card installed which presumbaly is connected to your broadband router/hub. Since your broadband will have a nominal speed rating (actual throughput will be lower) of something like 512Kbps (512,000 bits per second) the this will most likely be the main bottleneck. The first thing to do is to check what speed you are getting on the PC and the laptop using a speed tester like the one mentioned above or in the other topic linked above. They you can start trying to diagnose where the problems, if any, lie.