Finding the Third Proportional to 41,035 and 89,662

Step by Step Solution

1. Step 1: Write the proportion equation
   41,035 : 89,662 = 89,662 : x
2. Step 2: Convert to fraction form
   41,035/89,662 = 89,662/x
3. Step 3: Cross multiply
   41,035x = 89,662 × 89,662
4. Step 4: Simplify right side
   41,035x = 8,039,274,244
5. Step 5: Solve for x
   x = 8,039,274,244/41,035
6. Step 6: Final answer
   x = 195,912.62