Finding the Third Proportional to 7,524 and 10,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,524 : 10,624.50 = 10,624.50 : x
2. Step 2: Convert to fraction form
   7,524/10,624.50 = 10,624.50/x
3. Step 3: Cross multiply
   7,524x = 10,624.50 × 10,624.50
4. Step 4: Simplify right side
   7,524x = 112,880,000.25
5. Step 5: Solve for x
   x = 112,880,000.25/7,524
6. Step 6: Final answer
   x = 15,002.66