Finding the Third Proportional to 17,781.75 and 38,320.31

Step by Step Solution

1. Step 1: Write the proportion equation
   17,781.75 : 38,320.31 = 38,320.31 : x
2. Step 2: Convert to fraction form
   17,781.75/38,320.31 = 38,320.31/x
3. Step 3: Cross multiply
   17,781.75x = 38,320.31 × 38,320.31
4. Step 4: Simplify right side
   17,781.75x = 1,468,446,350.10
5. Step 5: Solve for x
   x = 1,468,446,350.10/17,781.75
6. Step 6: Final answer
   x = 82,581.66