Finding the Third Proportional to 11.20 and 15.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11.20 : 15.82 = 15.82 : x
2. Step 2: Convert to fraction form
   11.20/15.82 = 15.82/x
3. Step 3: Cross multiply
   11.20x = 15.82 × 15.82
4. Step 4: Simplify right side
   11.20x = 250.20
5. Step 5: Solve for x
   x = 250.20/11.20
6. Step 6: Final answer
   x = 22.33