Final answer:
In the absence of an official line of succession, the position of the President could be held by individuals with enough experience, such as the Speaker of the House or the President pro tempore of the Senate. If both the President and Vice President are unable to fulfill their roles, the order of succession would then go to the Cabinet members.
Step-by-step explanation:
In the absence of an official line of succession, the position of the President could be held by individuals with enough experience to fill the role. One possible scenario would be that the Speaker of the House would become the President, as established by the Presidential Succession Act of 1947. In this case, the Speaker of the House would assume the responsibilities of the President and appoint a new Vice President, who would then need to be confirmed by both the House and the Senate.
Another option could be that the President pro tempore of the Senate would become the President, according to the existing line of succession. In the event that both the President and Vice President are unable to fulfill their roles, the order of succession would then go to the Cabinet members, with the Secretary of State being next in line.
Overall, without an official line of succession, the position of the President would likely be filled by individuals with substantial political experience and knowledge of government processes and procedures.