Finding the Third Proportional to 41,810 and 89,374

Step by Step Solution

1. Step 1: Write the proportion equation
   41,810 : 89,374 = 89,374 : x
2. Step 2: Convert to fraction form
   41,810/89,374 = 89,374/x
3. Step 3: Cross multiply
   41,810x = 89,374 × 89,374
4. Step 4: Simplify right side
   41,810x = 7,987,711,876
5. Step 5: Solve for x
   x = 7,987,711,876/41,810
6. Step 6: Final answer
   x = 191,047.88