Finding the Third Proportional to 59,760 and 86,836

Step by Step Solution

1. Step 1: Write the proportion equation
   59,760 : 86,836 = 86,836 : x
2. Step 2: Convert to fraction form
   59,760/86,836 = 86,836/x
3. Step 3: Cross multiply
   59,760x = 86,836 × 86,836
4. Step 4: Simplify right side
   59,760x = 7,540,490,896
5. Step 5: Solve for x
   x = 7,540,490,896/59,760
6. Step 6: Final answer
   x = 126,179.57