Finding the Third Proportional to 6.55 and 13.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6.55 : 13.78 = 13.78 : x
2. Step 2: Convert to fraction form
   6.55/13.78 = 13.78/x
3. Step 3: Cross multiply
   6.55x = 13.78 × 13.78
4. Step 4: Simplify right side
   6.55x = 189.82
5. Step 5: Solve for x
   x = 189.82/6.55
6. Step 6: Final answer
   x = 28.96