Link me to one of these "professional" extractors please; I still don't know what you're talking about.
Anyway, here are some pictures of my cleaning the back seat. I cleaned all the seats and places where the fabric is like you see in the pictures. As for the other fabric on the car (which was found in places like the floor and the bottom, side, and back of the seats; actually, I might go and scrub the floors and the side panels some other time [they might not be the same material that is on the back, bottom, and side of the seats]) I tried scrubbing it a little, but it would get loose and ruffled and whatnot, not sure how to describe it, so I didn't scrub those areas.
Sean's method works really well. I poured in two cups of the OxyClean to my bucket of water (didn't really do any measurements with the water, but the bucket was 12 quarts I think) and stirred it up nice. I scooped out the soapy water like instructed and applied it all over the fabric until all of it was wet. (I actually dumped out the water in the bucket halfway through the job and refilled with more warm water and 2 cups of OxyClean, since the water was getting a little dirty).
Then dipping my brush in the solution, I scrubbed back and forth, alternating directions and motions and kept doing (dipping and scrubbing) this until I saw white foamy action (the brush gets really, really wet and slippery, and I had to use both hands just to be able to scrub with it). Then I turned on the Bissell (switched it to water only use, so when I press the button water shoots out and not cleaning solution) and sucked out the water from the seats. Probably could've spent more time on this repeatedly passing over the same spot over and over again, but I didn't want to spend that much time on it.
This wasn't originally my car, so I have no idea where the hole and stains came from; I got it used from a private owner. Regardless the stains came out, the hole is still there though

, and it looks and smells a lot cleaner. Still damp, so I'm letting it dry. Also decided against using the Bissell attachment to clean the seats; it was just taking way too long using the attachments, so I just used the attachments for the final extracting and cleaning.
Tools: $2 brush in the Automotive department at Super Wal-Mart; OxyClean in the laundry detergent aisle.
Before: Stains and a hole.
After: No stains at least; hole still there.
Dirty Water: Look what the Bissell sucked out of the seats.