Finding the Third Proportional to 6,344 and 13,108

Step by Step Solution

1. Step 1: Write the proportion equation
   6,344 : 13,108 = 13,108 : x
2. Step 2: Convert to fraction form
   6,344/13,108 = 13,108/x
3. Step 3: Cross multiply
   6,344x = 13,108 × 13,108
4. Step 4: Simplify right side
   6,344x = 171,819,664
5. Step 5: Solve for x
   x = 171,819,664/6,344
6. Step 6: Final answer
   x = 27,083.81