Finding the Third Proportional to 9,524 and 15,200

Step by Step Solution

1. Step 1: Write the proportion equation
   9,524 : 15,200 = 15,200 : x
2. Step 2: Convert to fraction form
   9,524/15,200 = 15,200/x
3. Step 3: Cross multiply
   9,524x = 15,200 × 15,200
4. Step 4: Simplify right side
   9,524x = 231,040,000
5. Step 5: Solve for x
   x = 231,040,000/9,524
6. Step 6: Final answer
   x = 24,258.71