Finding the Third Proportional to 2.82 and 5.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2.82 : 5.71 = 5.71 : x
2. Step 2: Convert to fraction form
   2.82/5.71 = 5.71/x
3. Step 3: Cross multiply
   2.82x = 5.71 × 5.71
4. Step 4: Simplify right side
   2.82x = 32.56
5. Step 5: Solve for x
   x = 32.56/2.82
6. Step 6: Final answer
   x = 11.57