Finding the Third Proportional to 59,524 and 80,799

Step by Step Solution

1. Step 1: Write the proportion equation
   59,524 : 80,799 = 80,799 : x
2. Step 2: Convert to fraction form
   59,524/80,799 = 80,799/x
3. Step 3: Cross multiply
   59,524x = 80,799 × 80,799
4. Step 4: Simplify right side
   59,524x = 6,528,478,401
5. Step 5: Solve for x
   x = 6,528,478,401/59,524
6. Step 6: Final answer
   x = 109,678.09