Finding the Third Proportional to 17,831.25 and 38,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,831.25 : 38,416.50 = 38,416.50 : x
2. Step 2: Convert to fraction form
   17,831.25/38,416.50 = 38,416.50/x
3. Step 3: Cross multiply
   17,831.25x = 38,416.50 × 38,416.50
4. Step 4: Simplify right side
   17,831.25x = 1,475,827,472.25
5. Step 5: Solve for x
   x = 1,475,827,472.25/17,831.25
6. Step 6: Final answer
   x = 82,766.35