Finding the Third Proportional to 2,524.50 and 5,400

Step by Step Solution

1. Step 1: Write the proportion equation
   2,524.50 : 5,400 = 5,400 : x
2. Step 2: Convert to fraction form
   2,524.50/5,400 = 5,400/x
3. Step 3: Cross multiply
   2,524.50x = 5,400 × 5,400
4. Step 4: Simplify right side
   2,524.50x = 29,160,000
5. Step 5: Solve for x
   x = 29,160,000/2,524.50
6. Step 6: Final answer
   x = 11,550.80