Finding the Third Proportional to 17,761.50 and 38,288.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,761.50 : 38,288.25 = 38,288.25 : x
2. Step 2: Convert to fraction form
   17,761.50/38,288.25 = 38,288.25/x
3. Step 3: Cross multiply
   17,761.50x = 38,288.25 × 38,288.25
4. Step 4: Simplify right side
   17,761.50x = 1,465,990,088.06
5. Step 5: Solve for x
   x = 1,465,990,088.06/17,761.50
6. Step 6: Final answer
   x = 82,537.52