Finding the Third Proportional to 2,838 and 5,478

Step by Step Solution

1. Step 1: Write the proportion equation
   2,838 : 5,478 = 5,478 : x
2. Step 2: Convert to fraction form
   2,838/5,478 = 5,478/x
3. Step 3: Cross multiply
   2,838x = 5,478 × 5,478
4. Step 4: Simplify right side
   2,838x = 30,008,484
5. Step 5: Solve for x
   x = 30,008,484/2,838
6. Step 6: Final answer
   x = 10,573.81