Jesus is the Carpenter (Mk 6:3). He probably built several chairs out of wood. Like any skilled carpenter, Jesus would have built His chairs to last. The chair would have a firm foundation to prevent toppling and give confidence to the one seated in the chair.
Jesus is also "Head of the Church" (Eph 1:22). As Founder and Head of the Church, Jesus built His Church upon Peter and his successors (Mt 16:18). The pope leads the Church because Jesus planned it that way.
Jesus, the Master Carpenter, has built another chair, the chair of St. Peter. This chair is built not from wood, but from the authority of the pope. It has a firm foundation and the one who sits on that chair will not topple because of the skill of Jesus, its Builder. In fact, even the powers of hell cannot prevail against the Church (Mt 16:18-19). This chair is built to last forever.
Someday, Jesus will be sitting in another chair, the Judgment Seat (see Mt 25:31). He will ask you to render an account of your life (Heb 4:13). When Jesus asks you how you respected and followed the authority of the one who sat in the chair of St. Peter, the chair He Himself built, how will you answer Him?