Finding the Third Proportional to 33,432 and 69,665.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,432 : 69,665.63 = 69,665.63 : x
2. Step 2: Convert to fraction form
   33,432/69,665.63 = 69,665.63/x
3. Step 3: Cross multiply
   33,432x = 69,665.63 × 69,665.63
4. Step 4: Simplify right side
   33,432x = 4,853,299,306.64
5. Step 5: Solve for x
   x = 4,853,299,306.64/33,432
6. Step 6: Final answer
   x = 145,169.28