Finding the Third Proportional to 5,096 and 10,408

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096 : 10,408 = 10,408 : x
2. Step 2: Convert to fraction form
   5,096/10,408 = 10,408/x
3. Step 3: Cross multiply
   5,096x = 10,408 × 10,408
4. Step 4: Simplify right side
   5,096x = 108,326,464
5. Step 5: Solve for x
   x = 108,326,464/5,096
6. Step 6: Final answer
   x = 21,257.16