Finding the Third Proportional to 39,892.50 and 86,022

Step by Step Solution

1. Step 1: Write the proportion equation
   39,892.50 : 86,022 = 86,022 : x
2. Step 2: Convert to fraction form
   39,892.50/86,022 = 86,022/x
3. Step 3: Cross multiply
   39,892.50x = 86,022 × 86,022
4. Step 4: Simplify right side
   39,892.50x = 7,399,784,484
5. Step 5: Solve for x
   x = 7,399,784,484/39,892.50
6. Step 6: Final answer
   x = 185,493.12