Finding the Third Proportional to 9,280 and 13,408

Step by Step Solution

1. Step 1: Write the proportion equation
   9,280 : 13,408 = 13,408 : x
2. Step 2: Convert to fraction form
   9,280/13,408 = 13,408/x
3. Step 3: Cross multiply
   9,280x = 13,408 × 13,408
4. Step 4: Simplify right side
   9,280x = 179,774,464
5. Step 5: Solve for x
   x = 179,774,464/9,280
6. Step 6: Final answer
   x = 19,372.25