Finding the Third Proportional to 2.60 and 3.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2.60 : 3.82 = 3.82 : x
2. Step 2: Convert to fraction form
   2.60/3.82 = 3.82/x
3. Step 3: Cross multiply
   2.60x = 3.82 × 3.82
4. Step 4: Simplify right side
   2.60x = 14.61
5. Step 5: Solve for x
   x = 14.61/2.60
6. Step 6: Final answer
   x = 5.62