Finding the Third Proportional to 2,519 and 5,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,519 : 5,443.50 = 5,443.50 : x
2. Step 2: Convert to fraction form
   2,519/5,443.50 = 5,443.50/x
3. Step 3: Cross multiply
   2,519x = 5,443.50 × 5,443.50
4. Step 4: Simplify right side
   2,519x = 29,631,692.25
5. Step 5: Solve for x
   x = 29,631,692.25/2,519
6. Step 6: Final answer
   x = 11,763.28