Finding the Third Proportional to 54,662 and 81,830

Step by Step Solution

1. Step 1: Write the proportion equation
   54,662 : 81,830 = 81,830 : x
2. Step 2: Convert to fraction form
   54,662/81,830 = 81,830/x
3. Step 3: Cross multiply
   54,662x = 81,830 × 81,830
4. Step 4: Simplify right side
   54,662x = 6,696,148,900
5. Step 5: Solve for x
   x = 6,696,148,900/54,662
6. Step 6: Final answer
   x = 122,500.99