The real danger involved in relighting a propane stove pilot light comes from the buildup of propane inside the home when an unlit burner is left on. Before even attempting to relight your stove's pilot light, open windows and doors and ventilate the kitchen to dissipate built-up propane inside the room. Also, read the section of the instruction manual provided with your propane cook top that covers relighting the pilot light and understand all safety precautions before proceeding.
You may be able to restore the pilot light's functionality without manually relighting it. First, check the stove's electrical cord to make sure it is not damaged or loose. Also check the other burners on the same stove top as well as the circuit breaker for the circuit that the stove uses; since the pilot lights on your propane stove are electrically powered, the problem may simply be a loss of electrical current to the pilot lights themselves. If the electrical power to the stove seems normal, you will need to attempt to relight the pilot light on your own.
After allowing ample time for propane fumes to dissipate in the kitchen, remove the cook top above the burner and light a match. Turn on the gas burner and hold the match to the burner. If the pilot light does not light, extinguish the match and turn off the gas burner. Again, ventilate the room to allow built-up propane to leave. Attempt to relight the pilot light one more time. If the pilot light still does not light, do not attempt to relight a third time.
If three attempts to relight the pilot light are unsuccessful, contact your propane provider right away. Gas providers can typically attempt to relight a pilot light free of charge. If the pilot light still does not light, the gas provider will be able to address the problem further for you and provide recommendations for repair professionals. It is also always wise to contact the manufacturer of the stove top in case repairs to the pilot light are covered under the manufacturer's warranty.