Finding the Third Proportional to 40,947 and 89,589

Step by Step Solution

1. Step 1: Write the proportion equation
   40,947 : 89,589 = 89,589 : x
2. Step 2: Convert to fraction form
   40,947/89,589 = 89,589/x
3. Step 3: Cross multiply
   40,947x = 89,589 × 89,589
4. Step 4: Simplify right side
   40,947x = 8,026,188,921
5. Step 5: Solve for x
   x = 8,026,188,921/40,947
6. Step 6: Final answer
   x = 196,014.09