Finding the Third Proportional to 6,770 and 13,814

Step by Step Solution

1. Step 1: Write the proportion equation
   6,770 : 13,814 = 13,814 : x
2. Step 2: Convert to fraction form
   6,770/13,814 = 13,814/x
3. Step 3: Cross multiply
   6,770x = 13,814 × 13,814
4. Step 4: Simplify right side
   6,770x = 190,826,596
5. Step 5: Solve for x
   x = 190,826,596/6,770
6. Step 6: Final answer
   x = 28,187.09