Finding the Third Proportional to 17,682 and 38,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,682 : 38,131.50 = 38,131.50 : x
2. Step 2: Convert to fraction form
   17,682/38,131.50 = 38,131.50/x
3. Step 3: Cross multiply
   17,682x = 38,131.50 × 38,131.50
4. Step 4: Simplify right side
   17,682x = 1,454,011,292.25
5. Step 5: Solve for x
   x = 1,454,011,292.25/17,682
6. Step 6: Final answer
   x = 82,231.16