Finding the Third Proportional to 6,740 and 13,678

Step by Step Solution

1. Step 1: Write the proportion equation
   6,740 : 13,678 = 13,678 : x
2. Step 2: Convert to fraction form
   6,740/13,678 = 13,678/x
3. Step 3: Cross multiply
   6,740x = 13,678 × 13,678
4. Step 4: Simplify right side
   6,740x = 187,087,684
5. Step 5: Solve for x
   x = 187,087,684/6,740
6. Step 6: Final answer
   x = 27,757.82