Finding the Third Proportional to 2.72 and 5.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2.72 : 5.86 = 5.86 : x
2. Step 2: Convert to fraction form
   2.72/5.86 = 5.86/x
3. Step 3: Cross multiply
   2.72x = 5.86 × 5.86
4. Step 4: Simplify right side
   2.72x = 34.33
5. Step 5: Solve for x
   x = 34.33/2.72
6. Step 6: Final answer
   x = 12.63