Finding the Third Proportional to 10.56 and 14.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10.56 : 14.69 = 14.69 : x
2. Step 2: Convert to fraction form
   10.56/14.69 = 14.69/x
3. Step 3: Cross multiply
   10.56x = 14.69 × 14.69
4. Step 4: Simplify right side
   10.56x = 215.72
5. Step 5: Solve for x
   x = 215.72/10.56
6. Step 6: Final answer
   x = 20.42