Finding the Third Proportional to 10,580 and 12,524

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580 : 12,524 = 12,524 : x
2. Step 2: Convert to fraction form
   10,580/12,524 = 12,524/x
3. Step 3: Cross multiply
   10,580x = 12,524 × 12,524
4. Step 4: Simplify right side
   10,580x = 156,850,576
5. Step 5: Solve for x
   x = 156,850,576/10,580
6. Step 6: Final answer
   x = 14,825.20