Finding the Third Proportional to 17,687.50 and 38,138

Step by Step Solution

1. Step 1: Write the proportion equation
   17,687.50 : 38,138 = 38,138 : x
2. Step 2: Convert to fraction form
   17,687.50/38,138 = 38,138/x
3. Step 3: Cross multiply
   17,687.50x = 38,138 × 38,138
4. Step 4: Simplify right side
   17,687.50x = 1,454,507,044
5. Step 5: Solve for x
   x = 1,454,507,044/17,687.50
6. Step 6: Final answer
   x = 82,233.61