Finding the Third Proportional to 40,943 and 89,581

Step by Step Solution

1. Step 1: Write the proportion equation
   40,943 : 89,581 = 89,581 : x
2. Step 2: Convert to fraction form
   40,943/89,581 = 89,581/x
3. Step 3: Cross multiply
   40,943x = 89,581 × 89,581
4. Step 4: Simplify right side
   40,943x = 8,024,755,561
5. Step 5: Solve for x
   x = 8,024,755,561/40,943
6. Step 6: Final answer
   x = 195,998.23