Finding the Third Proportional to 2,878 and 4,496

Step by Step Solution

1. Step 1: Write the proportion equation
   2,878 : 4,496 = 4,496 : x
2. Step 2: Convert to fraction form
   2,878/4,496 = 4,496/x
3. Step 3: Cross multiply
   2,878x = 4,496 × 4,496
4. Step 4: Simplify right side
   2,878x = 20,214,016
5. Step 5: Solve for x
   x = 20,214,016/2,878
6. Step 6: Final answer
   x = 7,023.63