Finding the Third Proportional to 54,499 and 82,022

Step by Step Solution

1. Step 1: Write the proportion equation
   54,499 : 82,022 = 82,022 : x
2. Step 2: Convert to fraction form
   54,499/82,022 = 82,022/x
3. Step 3: Cross multiply
   54,499x = 82,022 × 82,022
4. Step 4: Simplify right side
   54,499x = 6,727,608,484
5. Step 5: Solve for x
   x = 6,727,608,484/54,499
6. Step 6: Final answer
   x = 123,444.62