Finding the Third Proportional to 2,886 and 5,004

Step by Step Solution

1. Step 1: Write the proportion equation
   2,886 : 5,004 = 5,004 : x
2. Step 2: Convert to fraction form
   2,886/5,004 = 5,004/x
3. Step 3: Cross multiply
   2,886x = 5,004 × 5,004
4. Step 4: Simplify right side
   2,886x = 25,040,016
5. Step 5: Solve for x
   x = 25,040,016/2,886
6. Step 6: Final answer
   x = 8,676.37