Go to Adobe site
, click the image/link to Flash player and download it manually. For Fedora you can probably choose the ".rpm for Linux" option, which you can, after downloading it, install by double-clicking on it, or using 'rpm' from command line.
Another option is to download (from the same place) the .tar.gz version. There's a plugin file inside (libflashplayer.so or something close to that) which you can simply copy to your Mozilla browser plugin directory; restarting the browser should then load it. Either way should work, but installing the rpm package might make keeping it up-to-date easier.