Finding the Third Proportional to 2.67 and 5.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2.67 : 5.82 = 5.82 : x
2. Step 2: Convert to fraction form
   2.67/5.82 = 5.82/x
3. Step 3: Cross multiply
   2.67x = 5.82 × 5.82
4. Step 4: Simplify right side
   2.67x = 33.89
5. Step 5: Solve for x
   x = 33.89/2.67
6. Step 6: Final answer
   x = 12.68