Finding the Third Proportional to 2,419.56 and 3,849.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.56 : 3,849.71 = 3,849.71 : x
2. Step 2: Convert to fraction form
   2,419.56/3,849.71 = 3,849.71/x
3. Step 3: Cross multiply
   2,419.56x = 3,849.71 × 3,849.71
4. Step 4: Simplify right side
   2,419.56x = 14,820,304.38
5. Step 5: Solve for x
   x = 14,820,304.38/2,419.56
6. Step 6: Final answer
   x = 6,125.21