I'm trying to provide a wired ethernet connection (wireless is not an option for this device) to a device (Samsung blu-ray player) without running Cat5 cable all over the home. I have a PC sitting next to this device and the PC is connected to the network via a wireless USB adapter.

Is it possible to provide a wired connection from the PC to the wired device using the (currently unused) ethernet port in the back of the computer?

Here's how I envision the device getting connected to the internet via my network:

Linksys WRT54G v8 Wireless Router
  |
   ``--> Windows 7 PC connected via wireless
         |
          ``--> Blu-ray player connected via wired connection to the 
               ethernet port on the PC.

If so, how is this done? Will I need a crossover cable? What settings will I need to change in Windows 7 so that the device can connect?

NOTE: I'm trying to avoid having to buy a wireless bridge and/or hacking a router with an open-source firmware to get this to work. See my previous question for more details.