Finding the Third Proportional to 61,609 and 89,542

Step by Step Solution

1. Step 1: Write the proportion equation
   61,609 : 89,542 = 89,542 : x
2. Step 2: Convert to fraction form
   61,609/89,542 = 89,542/x
3. Step 3: Cross multiply
   61,609x = 89,542 × 89,542
4. Step 4: Simplify right side
   61,609x = 8,017,769,764
5. Step 5: Solve for x
   x = 8,017,769,764/61,609
6. Step 6: Final answer
   x = 130,139.59