Finding the Third Proportional to 6.50 and 11.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6.50 : 11.10 = 11.10 : x
2. Step 2: Convert to fraction form
   6.50/11.10 = 11.10/x
3. Step 3: Cross multiply
   6.50x = 11.10 × 11.10
4. Step 4: Simplify right side
   6.50x = 123.15
5. Step 5: Solve for x
   x = 123.15/6.50
6. Step 6: Final answer
   x = 18.95