Finding the Third Proportional to 2,644 and 3,896

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644 : 3,896 = 3,896 : x
2. Step 2: Convert to fraction form
   2,644/3,896 = 3,896/x
3. Step 3: Cross multiply
   2,644x = 3,896 × 3,896
4. Step 4: Simplify right side
   2,644x = 15,178,816
5. Step 5: Solve for x
   x = 15,178,816/2,644
6. Step 6: Final answer
   x = 5,740.85