A method to stop bleeding at a puncture site of an artery on a wrist of a patient comprises wrapping a flexible band of a hemostatic device around the patient's wrist, wherein the hemostatic device also includes a curved plate, a balloon and a marker for positioning the balloon at the puncture site, and wherein the flexible band, the curved plate and the balloon are substantially transparent. The balloon is positioned relative to the puncture site using the marker so that the balloon overlies the puncture site and is situated between the plate and the patient's wrist. The method also involves introducing fluid into the balloon after the wrapping the flexible band around the patient's wrist to inflate the balloon so the balloon applies a compressive force to the puncture site, and maintaining inflation of the balloon and compression against the puncture site to stop bleeding from the puncture site.