Finding the Third Proportional to 41,382 and 89,325

Step by Step Solution

1. Step 1: Write the proportion equation
   41,382 : 89,325 = 89,325 : x
2. Step 2: Convert to fraction form
   41,382/89,325 = 89,325/x
3. Step 3: Cross multiply
   41,382x = 89,325 × 89,325
4. Step 4: Simplify right side
   41,382x = 7,978,955,625
5. Step 5: Solve for x
   x = 7,978,955,625/41,382
6. Step 6: Final answer
   x = 192,812.23