Finding the Third Proportional to 12,536 and 17,524

Step by Step Solution

1. Step 1: Write the proportion equation
   12,536 : 17,524 = 17,524 : x
2. Step 2: Convert to fraction form
   12,536/17,524 = 17,524/x
3. Step 3: Cross multiply
   12,536x = 17,524 × 17,524
4. Step 4: Simplify right side
   12,536x = 307,090,576
5. Step 5: Solve for x
   x = 307,090,576/12,536
6. Step 6: Final answer
   x = 24,496.70