Finding the Third Proportional to 11,867 and 17,188

Step by Step Solution

1. Step 1: Write the proportion equation
   11,867 : 17,188 = 17,188 : x
2. Step 2: Convert to fraction form
   11,867/17,188 = 17,188/x
3. Step 3: Cross multiply
   11,867x = 17,188 × 17,188
4. Step 4: Simplify right side
   11,867x = 295,427,344
5. Step 5: Solve for x
   x = 295,427,344/11,867
6. Step 6: Final answer
   x = 24,894.86