Finding the Third Proportional to 10,288 and 16,408

Step by Step Solution

1. Step 1: Write the proportion equation
   10,288 : 16,408 = 16,408 : x
2. Step 2: Convert to fraction form
   10,288/16,408 = 16,408/x
3. Step 3: Cross multiply
   10,288x = 16,408 × 16,408
4. Step 4: Simplify right side
   10,288x = 269,222,464
5. Step 5: Solve for x
   x = 269,222,464/10,288
6. Step 6: Final answer
   x = 26,168.59