After taking an initial term of office, the governor shall appoint, from among the officers who head the principal departments of the state government or otherwise, a person to succeed to the office of lieutenant governor if the office of lieutenant governor becomes vacant. The appointment is subject to confirmation by a majority of the members of the legislature meeting in joint session. The person designated and confirmed is next in line for succession to the office of lieutenant governor, subject to the pleasure of the governor. If the person designated and confirmed is removed from or vacates the appointment, the governor shall appoint a successor subject to confirmation in the same manner as the person initially appointed.