Finding the Third Proportional to 6,840 and 10,108

Step by Step Solution

1. Step 1: Write the proportion equation
   6,840 : 10,108 = 10,108 : x
2. Step 2: Convert to fraction form
   6,840/10,108 = 10,108/x
3. Step 3: Cross multiply
   6,840x = 10,108 × 10,108
4. Step 4: Simplify right side
   6,840x = 102,171,664
5. Step 5: Solve for x
   x = 102,171,664/6,840
6. Step 6: Final answer
   x = 14,937.38