Finding the Third Proportional to 4,977 and 7,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,977 : 7,321.50 = 7,321.50 : x
2. Step 2: Convert to fraction form
   4,977/7,321.50 = 7,321.50/x
3. Step 3: Cross multiply
   4,977x = 7,321.50 × 7,321.50
4. Step 4: Simplify right side
   4,977x = 53,604,362.25
5. Step 5: Solve for x
   x = 53,604,362.25/4,977
6. Step 6: Final answer
   x = 10,770.42