Finding the Third Proportional to 41,631 and 85,662

Step by Step Solution

1. Step 1: Write the proportion equation
   41,631 : 85,662 = 85,662 : x
2. Step 2: Convert to fraction form
   41,631/85,662 = 85,662/x
3. Step 3: Cross multiply
   41,631x = 85,662 × 85,662
4. Step 4: Simplify right side
   41,631x = 7,337,978,244
5. Step 5: Solve for x
   x = 7,337,978,244/41,631
6. Step 6: Final answer
   x = 176,262.36