Final answer:
The term 'third place' in Johnson's speech indicates a transition to discussing a new facet of the Great Society plan, a series of reforms aimed at improving American society in education, healthcare, and civil rights.
Step-by-step explanation:
When Johnson speaks of a "third place", he references a new aspect of his ambitious social reform plan known as the Great Society. This term signifies a transition in his speech, indicating that he is about to discuss another key element of the plan, which is designed to improve the quality of life and eliminate poverty and racial injustice in the United States. The Great Society program comprised several initiatives across various domains, including education, healthcare, and civil rights. The use of 'third place' in this context is a rhetorical strategy to structure the speech and guide the audience through the components of the plan.