Finding the Third Proportional to 29,664 and 64,665

Step by Step Solution

1. Step 1: Write the proportion equation
   29,664 : 64,665 = 64,665 : x
2. Step 2: Convert to fraction form
   29,664/64,665 = 64,665/x
3. Step 3: Cross multiply
   29,664x = 64,665 × 64,665
4. Step 4: Simplify right side
   29,664x = 4,181,562,225
5. Step 5: Solve for x
   x = 4,181,562,225/29,664
6. Step 6: Final answer
   x = 140,964.21