Finding the Third Proportional to 40,842 and 89,961

Step by Step Solution

1. Step 1: Write the proportion equation
   40,842 : 89,961 = 89,961 : x
2. Step 2: Convert to fraction form
   40,842/89,961 = 89,961/x
3. Step 3: Cross multiply
   40,842x = 89,961 × 89,961
4. Step 4: Simplify right side
   40,842x = 8,092,981,521
5. Step 5: Solve for x
   x = 8,092,981,521/40,842
6. Step 6: Final answer
   x = 198,153.41