Finding the Third Proportional to 2.61 and 5.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2.61 : 5.82 = 5.82 : x
2. Step 2: Convert to fraction form
   2.61/5.82 = 5.82/x
3. Step 3: Cross multiply
   2.61x = 5.82 × 5.82
4. Step 4: Simplify right side
   2.61x = 33.86
5. Step 5: Solve for x
   x = 33.86/2.61
6. Step 6: Final answer
   x = 12.98