I've really been at a loss trying to figure this out. Quick backstory: GF moved into apartment built prior to NEC code change so it has a 3 prong outlet. Her GE Profile dryer had a 4 prong plug attached. I may ask the complex to see if they will update the outlet to a 4 prong, but assume that doesn't happen. This is a second floor apartment and the device is in a cramped laundry closet. 

I opened up the back panel and the terminal block was oriented in a bizarre way from anything I've seen online. This is a used dryer so she doesn't have the owner's manual and I couldn't find anything for this model number (DPSR473EV0WW) on GE's instruction manual/owner's guide website.

I disconnected the 4 prong including the green wire from the ground screw. I was expecting to find an internal ground wire from inside the dryer that I could reconnect to the ground screw, but there was no green wire to be found. I went ahead and hooked up the 3 prong as shown:

https://imgur.com/iiV4TuI

https://imgur.com/lB5jhRH (closeup)

You might be wondering why the 3 prong is threaded behind the terminal block and it's because there wasn't enough slack (or enough room) in the 3 prong heads to connect them on the slanted terminal block when coming in from the right side. Hopefully this isn't an issue.

My bigger question though concerns the yellow wire which I currently have attached to the ground screw. The yellow wire (barely visible in the second image) was originally connected to the neutral terminal along with a white wire (red wire fed the top, black wire fed the bottom). I have no idea what this yellow wire is. Is it it the ground? Should I connect it as I have done to the ground screw or is it something else I need to put back onto the neutral terminal? The back of the dryer discusses a ground strap which of course is long gone so I can go get one to connect neutral to the ground screw, but this yellow wire has me perplexed. I'm trying to do this right, but this GE design is really bizarre compared to all the guides online.

I'm leaning towards putting the yellow wire back on the neutral since I don't know specifically what it does. I've heard that ground straps are not recommended anymore as it may not actually ground the chassis, so I'm kind of at a loss for what to do to make this safe. 

Any ideas or advice?