Finding the Third Proportional to 59,524 and 89,892

Step by Step Solution

1. Step 1: Write the proportion equation
   59,524 : 89,892 = 89,892 : x
2. Step 2: Convert to fraction form
   59,524/89,892 = 89,892/x
3. Step 3: Cross multiply
   59,524x = 89,892 × 89,892
4. Step 4: Simplify right side
   59,524x = 8,080,571,664
5. Step 5: Solve for x
   x = 8,080,571,664/59,524
6. Step 6: Final answer
   x = 135,753.17