Finding the Third Proportional to 2.48 and 5.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2.48 : 5.82 = 5.82 : x
2. Step 2: Convert to fraction form
   2.48/5.82 = 5.82/x
3. Step 3: Cross multiply
   2.48x = 5.82 × 5.82
4. Step 4: Simplify right side
   2.48x = 33.86
5. Step 5: Solve for x
   x = 33.86/2.48
6. Step 6: Final answer
   x = 13.67