Finding the Third Proportional to 9,500 and 13,524

Step by Step Solution

1. Step 1: Write the proportion equation
   9,500 : 13,524 = 13,524 : x
2. Step 2: Convert to fraction form
   9,500/13,524 = 13,524/x
3. Step 3: Cross multiply
   9,500x = 13,524 × 13,524
4. Step 4: Simplify right side
   9,500x = 182,898,576
5. Step 5: Solve for x
   x = 182,898,576/9,500
6. Step 6: Final answer
   x = 19,252.48