Finding the Third Proportional to 32,241 and 72,418

Step by Step Solution

1. Step 1: Write the proportion equation
   32,241 : 72,418 = 72,418 : x
2. Step 2: Convert to fraction form
   32,241/72,418 = 72,418/x
3. Step 3: Cross multiply
   32,241x = 72,418 × 72,418
4. Step 4: Simplify right side
   32,241x = 5,244,366,724
5. Step 5: Solve for x
   x = 5,244,366,724/32,241
6. Step 6: Final answer
   x = 162,661.42