Finding the Third Proportional to 39,920 and 82,144

Step by Step Solution

1. Step 1: Write the proportion equation
   39,920 : 82,144 = 82,144 : x
2. Step 2: Convert to fraction form
   39,920/82,144 = 82,144/x
3. Step 3: Cross multiply
   39,920x = 82,144 × 82,144
4. Step 4: Simplify right side
   39,920x = 6,747,636,736
5. Step 5: Solve for x
   x = 6,747,636,736/39,920
6. Step 6: Final answer
   x = 169,028.98