Finding the Third Proportional to 32,689 and 70,561

Step by Step Solution

1. Step 1: Write the proportion equation
   32,689 : 70,561 = 70,561 : x
2. Step 2: Convert to fraction form
   32,689/70,561 = 70,561/x
3. Step 3: Cross multiply
   32,689x = 70,561 × 70,561
4. Step 4: Simplify right side
   32,689x = 4,978,854,721
5. Step 5: Solve for x
   x = 4,978,854,721/32,689
6. Step 6: Final answer
   x = 152,309.79