Finding the Third Proportional to 8,132.91 and 17,666.86

Step by Step Solution

1. Step 1: Write the proportion equation
   8,132.91 : 17,666.86 = 17,666.86 : x
2. Step 2: Convert to fraction form
   8,132.91/17,666.86 = 17,666.86/x
3. Step 3: Cross multiply
   8,132.91x = 17,666.86 × 17,666.86
4. Step 4: Simplify right side
   8,132.91x = 312,117,920.18
5. Step 5: Solve for x
   x = 312,117,920.18/8,132.91
6. Step 6: Final answer
   x = 38,377.17