Finding the Third Proportional to 10.06 and 15.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10.06 : 15.69 = 15.69 : x
2. Step 2: Convert to fraction form
   10.06/15.69 = 15.69/x
3. Step 3: Cross multiply
   10.06x = 15.69 × 15.69
4. Step 4: Simplify right side
   10.06x = 246.10
5. Step 5: Solve for x
   x = 246.10/10.06
6. Step 6: Final answer
   x = 24.46