Finding the Third Proportional to 12,872 and 17,188

Step by Step Solution

1. Step 1: Write the proportion equation
   12,872 : 17,188 = 17,188 : x
2. Step 2: Convert to fraction form
   12,872/17,188 = 17,188/x
3. Step 3: Cross multiply
   12,872x = 17,188 × 17,188
4. Step 4: Simplify right side
   12,872x = 295,427,344
5. Step 5: Solve for x
   x = 295,427,344/12,872
6. Step 6: Final answer
   x = 22,951.16