Finding the Third Proportional to 38,417.73 and 83,524.61

Step by Step Solution

1. Step 1: Write the proportion equation
   38,417.73 : 83,524.61 = 83,524.61 : x
2. Step 2: Convert to fraction form
   38,417.73/83,524.61 = 83,524.61/x
3. Step 3: Cross multiply
   38,417.73x = 83,524.61 × 83,524.61
4. Step 4: Simplify right side
   38,417.73x = 6,976,359,718.71
5. Step 5: Solve for x
   x = 6,976,359,718.71/38,417.73
6. Step 6: Final answer
   x = 181,592.19