Finding the Third Proportional to 59,914 and 91,689

Step by Step Solution

1. Step 1: Write the proportion equation
   59,914 : 91,689 = 91,689 : x
2. Step 2: Convert to fraction form
   59,914/91,689 = 91,689/x
3. Step 3: Cross multiply
   59,914x = 91,689 × 91,689
4. Step 4: Simplify right side
   59,914x = 8,406,872,721
5. Step 5: Solve for x
   x = 8,406,872,721/59,914
6. Step 6: Final answer
   x = 140,315.66