Finding the Third Proportional to 2,519 and 3,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,519 : 3,727.50 = 3,727.50 : x
2. Step 2: Convert to fraction form
   2,519/3,727.50 = 3,727.50/x
3. Step 3: Cross multiply
   2,519x = 3,727.50 × 3,727.50
4. Step 4: Simplify right side
   2,519x = 13,894,256.25
5. Step 5: Solve for x
   x = 13,894,256.25/2,519
6. Step 6: Final answer
   x = 5,515.78