Finding the Third Proportional to 2,405.38 and 3,759.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405.38 : 3,759.94 = 3,759.94 : x
2. Step 2: Convert to fraction form
   2,405.38/3,759.94 = 3,759.94/x
3. Step 3: Cross multiply
   2,405.38x = 3,759.94 × 3,759.94
4. Step 4: Simplify right side
   2,405.38x = 14,137,130.00
5. Step 5: Solve for x
   x = 14,137,130.00/2,405.38
6. Step 6: Final answer
   x = 5,877.31