Finding the Third Proportional to 2,638 and 3,950

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638 : 3,950 = 3,950 : x
2. Step 2: Convert to fraction form
   2,638/3,950 = 3,950/x
3. Step 3: Cross multiply
   2,638x = 3,950 × 3,950
4. Step 4: Simplify right side
   2,638x = 15,602,500
5. Step 5: Solve for x
   x = 15,602,500/2,638
6. Step 6: Final answer
   x = 5,914.52