Finding the Third Proportional to 2,519.50 and 3,877

Step by Step Solution

1. Step 1: Write the proportion equation
   2,519.50 : 3,877 = 3,877 : x
2. Step 2: Convert to fraction form
   2,519.50/3,877 = 3,877/x
3. Step 3: Cross multiply
   2,519.50x = 3,877 × 3,877
4. Step 4: Simplify right side
   2,519.50x = 15,031,129
5. Step 5: Solve for x
   x = 15,031,129/2,519.50
6. Step 6: Final answer
   x = 5,965.92