Finding the Third Proportional to 6.78 and 10.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6.78 : 10.10 = 10.10 : x
2. Step 2: Convert to fraction form
   6.78/10.10 = 10.10/x
3. Step 3: Cross multiply
   6.78x = 10.10 × 10.10
4. Step 4: Simplify right side
   6.78x = 101.91
5. Step 5: Solve for x
   x = 101.91/6.78
6. Step 6: Final answer
   x = 15.03