Glenoid prosthesis with a hybrid design (combining both peg and keel designs), and surgical methods for reconstitution of a shoulder joint. The hybrid design combines both peg and keel components into one device. The hybrid glenoid component of a shoulder prosthesis includes an oval body having a concave lateral articulating surface and an opposing convex medial surface. The medial surface is provided with a plurality of pegs and a single inferior protrusion. The pegs are used to attain both a superior location as well as a central location. The inferior protrusion provides stability in the superior-to-inferior translation of the humeral head, as well as rotational articulation of the same.