Finding the Third Proportional to 41,584 and 61,098

Step by Step Solution

1. Step 1: Write the proportion equation
   41,584 : 61,098 = 61,098 : x
2. Step 2: Convert to fraction form
   41,584/61,098 = 61,098/x
3. Step 3: Cross multiply
   41,584x = 61,098 × 61,098
4. Step 4: Simplify right side
   41,584x = 3,732,965,604
5. Step 5: Solve for x
   x = 3,732,965,604/41,584
6. Step 6: Final answer
   x = 89,769.28