Finding the Third Proportional to 41,022 and 89,455

Step by Step Solution

1. Step 1: Write the proportion equation
   41,022 : 89,455 = 89,455 : x
2. Step 2: Convert to fraction form
   41,022/89,455 = 89,455/x
3. Step 3: Cross multiply
   41,022x = 89,455 × 89,455
4. Step 4: Simplify right side
   41,022x = 8,002,197,025
5. Step 5: Solve for x
   x = 8,002,197,025/41,022
6. Step 6: Final answer
   x = 195,070.87