Finding the Third Proportional to 2.61 and 3.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2.61 : 3.83 = 3.83 : x
2. Step 2: Convert to fraction form
   2.61/3.83 = 3.83/x
3. Step 3: Cross multiply
   2.61x = 3.83 × 3.83
4. Step 4: Simplify right side
   2.61x = 14.63
5. Step 5: Solve for x
   x = 14.63/2.61
6. Step 6: Final answer
   x = 5.60