Finding the Third Proportional to 32,629 and 62,665

Step by Step Solution

1. Step 1: Write the proportion equation
   32,629 : 62,665 = 62,665 : x
2. Step 2: Convert to fraction form
   32,629/62,665 = 62,665/x
3. Step 3: Cross multiply
   32,629x = 62,665 × 62,665
4. Step 4: Simplify right side
   32,629x = 3,926,902,225
5. Step 5: Solve for x
   x = 3,926,902,225/32,629
6. Step 6: Final answer
   x = 120,350.06