Finding the Third Proportional to 11.06 and 14.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11.06 : 14.69 = 14.69 : x
2. Step 2: Convert to fraction form
   11.06/14.69 = 14.69/x
3. Step 3: Cross multiply
   11.06x = 14.69 × 14.69
4. Step 4: Simplify right side
   11.06x = 215.72
5. Step 5: Solve for x
   x = 215.72/11.06
6. Step 6: Final answer
   x = 19.50