Finding the Third Proportional to 59,762 and 86,839

Step by Step Solution

1. Step 1: Write the proportion equation
   59,762 : 86,839 = 86,839 : x
2. Step 2: Convert to fraction form
   59,762/86,839 = 86,839/x
3. Step 3: Cross multiply
   59,762x = 86,839 × 86,839
4. Step 4: Simplify right side
   59,762x = 7,541,011,921
5. Step 5: Solve for x
   x = 7,541,011,921/59,762
6. Step 6: Final answer
   x = 126,184.06