Finding the Third Proportional to 2,514 and 5,868

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514 : 5,868 = 5,868 : x
2. Step 2: Convert to fraction form
   2,514/5,868 = 5,868/x
3. Step 3: Cross multiply
   2,514x = 5,868 × 5,868
4. Step 4: Simplify right side
   2,514x = 34,433,424
5. Step 5: Solve for x
   x = 34,433,424/2,514
6. Step 6: Final answer
   x = 13,696.67