Whomever is specified by the law of the state in question. There are fifty states, so there could in theory be fifty different orders of succession, and some states may not have expressly made provision for this eventuality, deeming it unlikely (if they still don't have provisions for it, the plan to not have a planhas evidently worked out okay for them so far). In practice, if one of the states that doesn't have a lengthy order of succession ran out of people, they'd likely nominate some high state official... perhaps the President Pro Tem of the State Senate, or the Speaker of the State House of Representatives... to act as interim governor and hold a special election. They'd also probably pass a law to avoid having this happen in the future.
To give you some idea of the differences there can be: in some states, the constitutions have at times provided that the Lieutenant Governor is NOT the designated successor to the Governorship, but that some other state official holds that role.
The Lt. Governor takes the seat.
The Chief Justice of The High Court of the same State takes over the Charge.
THe Lieutenant Governor Takes the power if the governor's seat becomes open due to Impeachment, assassination, ect.
If the President dies and the Vice President takes over, the Vice President becomes the President. The Vice Presidency position would then be vacant and would need to be filled according to the constitutional process.
elect another governor
It Becomes A Law Automatically .
It Becomes A Law Automatically .
An opportunity taker is someone that takes the opportunity when then receive it. For example in a job; if there is a vacant position and the manager asks you, and you accept; this means that you took upon the opportunity that was available.
The Lieutenant Governor takes over if the Governor cannot complete the term.
elect another governor
The Secretary of State assumes the power of the Governor when the current Governor dies, resigns, or leaves office for other reasons. The current Secretary of State in Arizona is Jan Brewer, a Republican. The current Governor of Arizona is Janet Napolitano, a Democrat, who is currently being considered to become part of President-Elect Obama's cabinet.
The Lieutenant Governor.