According to the 25th Amendment to the Constitution (1967), If a vice president resigns or he cannot continue in charge, the then President has to select a new candidate to cover the vacancy. The nominee must be approved by the House of Representatives and the Senate by majority.
The radio talks that U.S. President Franklin D. Roosevelt were a very famous radio talk show. They were called Fireside Chats and they were used to talk to the American population about many things he was doing in order to aid them through the Great Depression.