Finding the Third Proportional to 2,519 and 5,338

Step by Step Solution

1. Step 1: Write the proportion equation
   2,519 : 5,338 = 5,338 : x
2. Step 2: Convert to fraction form
   2,519/5,338 = 5,338/x
3. Step 3: Cross multiply
   2,519x = 5,338 × 5,338
4. Step 4: Simplify right side
   2,519x = 28,494,244
5. Step 5: Solve for x
   x = 28,494,244/2,519
6. Step 6: Final answer
   x = 11,311.73