Finding the Third Proportional to 2.77 and 5.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2.77 : 5.89 = 5.89 : x
2. Step 2: Convert to fraction form
   2.77/5.89 = 5.89/x
3. Step 3: Cross multiply
   2.77x = 5.89 × 5.89
4. Step 4: Simplify right side
   2.77x = 34.73
5. Step 5: Solve for x
   x = 34.73/2.77
6. Step 6: Final answer
   x = 12.56