Finding the Third Proportional to 29,977 and 65,665

Step by Step Solution

1. Step 1: Write the proportion equation
   29,977 : 65,665 = 65,665 : x
2. Step 2: Convert to fraction form
   29,977/65,665 = 65,665/x
3. Step 3: Cross multiply
   29,977x = 65,665 × 65,665
4. Step 4: Simplify right side
   29,977x = 4,311,892,225
5. Step 5: Solve for x
   x = 4,311,892,225/29,977
6. Step 6: Final answer
   x = 143,840.02