Finding the Third Proportional to 2.91 and 5.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2.91 : 5.86 = 5.86 : x
2. Step 2: Convert to fraction form
   2.91/5.86 = 5.86/x
3. Step 3: Cross multiply
   2.91x = 5.86 × 5.86
4. Step 4: Simplify right side
   2.91x = 34.30
5. Step 5: Solve for x
   x = 34.30/2.91
6. Step 6: Final answer
   x = 11.79