Finding the Third Proportional to 2,819 and 3,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,819 : 3,872.50 = 3,872.50 : x
2. Step 2: Convert to fraction form
   2,819/3,872.50 = 3,872.50/x
3. Step 3: Cross multiply
   2,819x = 3,872.50 × 3,872.50
4. Step 4: Simplify right side
   2,819x = 14,996,256.25
5. Step 5: Solve for x
   x = 14,996,256.25/2,819
6. Step 6: Final answer
   x = 5,319.71