Finding the Third Proportional to 3,754.50 and 5,408.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,754.50 : 5,408.25 = 5,408.25 : x
2. Step 2: Convert to fraction form
   3,754.50/5,408.25 = 5,408.25/x
3. Step 3: Cross multiply
   3,754.50x = 5,408.25 × 5,408.25
4. Step 4: Simplify right side
   3,754.50x = 29,249,168.06
5. Step 5: Solve for x
   x = 29,249,168.06/3,754.50
6. Step 6: Final answer
   x = 7,790.43