Finding the Third Proportional to 11,408 and 17,868

Step by Step Solution

1. Step 1: Write the proportion equation
   11,408 : 17,868 = 17,868 : x
2. Step 2: Convert to fraction form
   11,408/17,868 = 17,868/x
3. Step 3: Cross multiply
   11,408x = 17,868 × 17,868
4. Step 4: Simplify right side
   11,408x = 319,265,424
5. Step 5: Solve for x
   x = 319,265,424/11,408
6. Step 6: Final answer
   x = 27,986.10