Finding the Third Proportional to 2,395 and 3,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,395 : 3,744.50 = 3,744.50 : x
2. Step 2: Convert to fraction form
   2,395/3,744.50 = 3,744.50/x
3. Step 3: Cross multiply
   2,395x = 3,744.50 × 3,744.50
4. Step 4: Simplify right side
   2,395x = 14,021,280.25
5. Step 5: Solve for x
   x = 14,021,280.25/2,395
6. Step 6: Final answer
   x = 5,854.40