Finding the Third Proportional to 59,524 and 80,840

Step by Step Solution

1. Step 1: Write the proportion equation
   59,524 : 80,840 = 80,840 : x
2. Step 2: Convert to fraction form
   59,524/80,840 = 80,840/x
3. Step 3: Cross multiply
   59,524x = 80,840 × 80,840
4. Step 4: Simplify right side
   59,524x = 6,535,105,600
5. Step 5: Solve for x
   x = 6,535,105,600/59,524
6. Step 6: Final answer
   x = 109,789.42