Looking at the wiring diagram, you have a short to GND either at one of the reverse bulbs or socket, or somewhere along the wiring path. I’d first suspect a problem at the bulb.
Have you replaced your reverse light bulbs recently? Maybe with LEDs? The pins in the socket may have gotten squished together and are shorting the +12 to GND when you go into reverse. Or a bulb actually is a dead short. Some LED bulbs have been known to be failed in a shorted condition.
Turn ignition off. Install a new fuse. Remove the reverse bulbs. Inspect the sockets for shorted pins. Measure the resistance between the bulb’s two pins. It should be low resistance of a few ohms. Reverse the leads and measure again. If you get a zero ohm reading you have a shorted bulb. There’s your culprit. Repeat with the other bulb.
If each bulb is OK measure the resistance of each pin of each socket to chassis GND. Only one pin in each socket should be GND. The other pin should be open. If both pins at one socket are shorted to GND you have a shorted wire to chassis somewhere between the bulb socket and the switch, or the switch itself, that you’ll have to trace. If only one pin is GND, set brake, chock wheels, turn on ignition, put it into reverse. Fuse blows? Suspect a bad reverse switch. Fuse OK? Set your meter to read DC volts and read across the pins at each socket for 12V. Take care not to short them together. If you read 12V, turn off the ignition. Install one bulb. A known good incandescent OEM bulb and turn on the ignition and repeat the reverse test. Bulb lights OK? Turn off ignition. Install other bulb and repeat reverse test. Bulb lights? You’re good to go.