A process for applying a protective covering for a cast or wound to a patient includes the steps of selecting an elongated waterproof flexible transparent polymer bag having an opening in at least one end thereof and then cutting the selected bag to a predetermined length and sliding it over a patient's appendage to cover a cast or wound. A roll of elongated high cling plastic stretch film having a thickness between 50 and 200 gauge is then selected and wrapped around at least one end of the open end of the polymer bag adjacent the patient's appendage with a plurality of wraps while stretching the plastic stretch film to form a waterproof seal between the bag and the patient's appendage so that a waterproof cover is provided for the patient's wound or cast.