Finding the Third Proportional to 2.82 and 5.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2.82 : 5.96 = 5.96 : x
2. Step 2: Convert to fraction form
   2.82/5.96 = 5.96/x
3. Step 3: Cross multiply
   2.82x = 5.96 × 5.96
4. Step 4: Simplify right side
   2.82x = 35.52
5. Step 5: Solve for x
   x = 35.52/2.82
6. Step 6: Final answer
   x = 12.61