Finding the Third Proportional to 2,431.69 and 3,799.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,431.69 : 3,799.41 = 3,799.41 : x
2. Step 2: Convert to fraction form
   2,431.69/3,799.41 = 3,799.41/x
3. Step 3: Cross multiply
   2,431.69x = 3,799.41 × 3,799.41
4. Step 4: Simplify right side
   2,431.69x = 14,435,487.85
5. Step 5: Solve for x
   x = 14,435,487.85/2,431.69
6. Step 6: Final answer
   x = 5,936.41