Finding the Third Proportional to 6,320 and 13,408

Step by Step Solution

1. Step 1: Write the proportion equation
   6,320 : 13,408 = 13,408 : x
2. Step 2: Convert to fraction form
   6,320/13,408 = 13,408/x
3. Step 3: Cross multiply
   6,320x = 13,408 × 13,408
4. Step 4: Simplify right side
   6,320x = 179,774,464
5. Step 5: Solve for x
   x = 179,774,464/6,320
6. Step 6: Final answer
   x = 28,445.33