Finding the Third Proportional to 61,225 and 89,741

Step by Step Solution

1. Step 1: Write the proportion equation
   61,225 : 89,741 = 89,741 : x
2. Step 2: Convert to fraction form
   61,225/89,741 = 89,741/x
3. Step 3: Cross multiply
   61,225x = 89,741 × 89,741
4. Step 4: Simplify right side
   61,225x = 8,053,447,081
5. Step 5: Solve for x
   x = 8,053,447,081/61,225
6. Step 6: Final answer
   x = 131,538.54