Finding the Third Proportional to 2,401.75 and 3,704.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,401.75 : 3,704.25 = 3,704.25 : x
2. Step 2: Convert to fraction form
   2,401.75/3,704.25 = 3,704.25/x
3. Step 3: Cross multiply
   2,401.75x = 3,704.25 × 3,704.25
4. Step 4: Simplify right side
   2,401.75x = 13,721,468.06
5. Step 5: Solve for x
   x = 13,721,468.06/2,401.75
6. Step 6: Final answer
   x = 5,713.11