Finding the Third Proportional to 33,432.50 and 69,665

Step by Step Solution

1. Step 1: Write the proportion equation
   33,432.50 : 69,665 = 69,665 : x
2. Step 2: Convert to fraction form
   33,432.50/69,665 = 69,665/x
3. Step 3: Cross multiply
   33,432.50x = 69,665 × 69,665
4. Step 4: Simplify right side
   33,432.50x = 4,853,212,225
5. Step 5: Solve for x
   x = 4,853,212,225/33,432.50
6. Step 6: Final answer
   x = 145,164.50