Finding the Third Proportional to 17,689.13 and 38,658.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,689.13 : 38,658.75 = 38,658.75 : x
2. Step 2: Convert to fraction form
   17,689.13/38,658.75 = 38,658.75/x
3. Step 3: Cross multiply
   17,689.13x = 38,658.75 × 38,658.75
4. Step 4: Simplify right side
   17,689.13x = 1,494,498,951.56
5. Step 5: Solve for x
   x = 1,494,498,951.56/17,689.13
6. Step 6: Final answer
   x = 84,486.88