Finding the Third Proportional to 59,576 and 86,896

Step by Step Solution

1. Step 1: Write the proportion equation
   59,576 : 86,896 = 86,896 : x
2. Step 2: Convert to fraction form
   59,576/86,896 = 86,896/x
3. Step 3: Cross multiply
   59,576x = 86,896 × 86,896
4. Step 4: Simplify right side
   59,576x = 7,550,914,816
5. Step 5: Solve for x
   x = 7,550,914,816/59,576
6. Step 6: Final answer
   x = 126,744.24