Finding the Third Proportional to 9,408 and 13,216

Step by Step Solution

1. Step 1: Write the proportion equation
   9,408 : 13,216 = 13,216 : x
2. Step 2: Convert to fraction form
   9,408/13,216 = 13,216/x
3. Step 3: Cross multiply
   9,408x = 13,216 × 13,216
4. Step 4: Simplify right side
   9,408x = 174,662,656
5. Step 5: Solve for x
   x = 174,662,656/9,408
6. Step 6: Final answer
   x = 18,565.33