Finding the Third Proportional to 2,878 and 5,816

Step by Step Solution

1. Step 1: Write the proportion equation
   2,878 : 5,816 = 5,816 : x
2. Step 2: Convert to fraction form
   2,878/5,816 = 5,816/x
3. Step 3: Cross multiply
   2,878x = 5,816 × 5,816
4. Step 4: Simplify right side
   2,878x = 33,825,856
5. Step 5: Solve for x
   x = 33,825,856/2,878
6. Step 6: Final answer
   x = 11,753.25