Finding the Third Proportional to 6.78 and 13.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6.78 : 13.69 = 13.69 : x
2. Step 2: Convert to fraction form
   6.78/13.69 = 13.69/x
3. Step 3: Cross multiply
   6.78x = 13.69 × 13.69
4. Step 4: Simplify right side
   6.78x = 187.35
5. Step 5: Solve for x
   x = 187.35/6.78
6. Step 6: Final answer
   x = 27.63