Finding the Third Proportional to 61,614 and 89,019

Step by Step Solution

1. Step 1: Write the proportion equation
   61,614 : 89,019 = 89,019 : x
2. Step 2: Convert to fraction form
   61,614/89,019 = 89,019/x
3. Step 3: Cross multiply
   61,614x = 89,019 × 89,019
4. Step 4: Simplify right side
   61,614x = 7,924,382,361
5. Step 5: Solve for x
   x = 7,924,382,361/61,614
6. Step 6: Final answer
   x = 128,613.34