Finding the Third Proportional to 41,909.91 and 85,665.09

Step by Step Solution

1. Step 1: Write the proportion equation
   41,909.91 : 85,665.09 = 85,665.09 : x
2. Step 2: Convert to fraction form
   41,909.91/85,665.09 = 85,665.09/x
3. Step 3: Cross multiply
   41,909.91x = 85,665.09 × 85,665.09
4. Step 4: Simplify right side
   41,909.91x = 7,338,508,287.20
5. Step 5: Solve for x
   x = 7,338,508,287.20/41,909.91
6. Step 6: Final answer
   x = 175,102.00