Finding the Third Proportional to 12,524 and 18,196

Step by Step Solution

1. Step 1: Write the proportion equation
   12,524 : 18,196 = 18,196 : x
2. Step 2: Convert to fraction form
   12,524/18,196 = 18,196/x
3. Step 3: Cross multiply
   12,524x = 18,196 × 18,196
4. Step 4: Simplify right side
   12,524x = 331,094,416
5. Step 5: Solve for x
   x = 331,094,416/12,524
6. Step 6: Final answer
   x = 26,436.79