Finding the Third Proportional to 2.84 and 5.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2.84 : 5.89 = 5.89 : x
2. Step 2: Convert to fraction form
   2.84/5.89 = 5.89/x
3. Step 3: Cross multiply
   2.84x = 5.89 × 5.89
4. Step 4: Simplify right side
   2.84x = 34.64
5. Step 5: Solve for x
   x = 34.64/2.84
6. Step 6: Final answer
   x = 12.19