Finding the Third Proportional to 11,678 and 17,867

Step by Step Solution

1. Step 1: Write the proportion equation
   11,678 : 17,867 = 17,867 : x
2. Step 2: Convert to fraction form
   11,678/17,867 = 17,867/x
3. Step 3: Cross multiply
   11,678x = 17,867 × 17,867
4. Step 4: Simplify right side
   11,678x = 319,229,689
5. Step 5: Solve for x
   x = 319,229,689/11,678
6. Step 6: Final answer
   x = 27,335.99