Finding the Third Proportional to 2,518 and 5,827

Step by Step Solution

1. Step 1: Write the proportion equation
   2,518 : 5,827 = 5,827 : x
2. Step 2: Convert to fraction form
   2,518/5,827 = 5,827/x
3. Step 3: Cross multiply
   2,518x = 5,827 × 5,827
4. Step 4: Simplify right side
   2,518x = 33,953,929
5. Step 5: Solve for x
   x = 33,953,929/2,518
6. Step 6: Final answer
   x = 13,484.48