Finding the Third Proportional to 3,744 and 5,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,744 : 5,323.50 = 5,323.50 : x
2. Step 2: Convert to fraction form
   3,744/5,323.50 = 5,323.50/x
3. Step 3: Cross multiply
   3,744x = 5,323.50 × 5,323.50
4. Step 4: Simplify right side
   3,744x = 28,339,652.25
5. Step 5: Solve for x
   x = 28,339,652.25/3,744
6. Step 6: Final answer
   x = 7,569.35