Finding the Third Proportional to 17,754 and 38,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,754 : 38,275.50 = 38,275.50 : x
2. Step 2: Convert to fraction form
   17,754/38,275.50 = 38,275.50/x
3. Step 3: Cross multiply
   17,754x = 38,275.50 × 38,275.50
4. Step 4: Simplify right side
   17,754x = 1,465,013,900.25
5. Step 5: Solve for x
   x = 1,465,013,900.25/17,754
6. Step 6: Final answer
   x = 82,517.40