Finding the Third Proportional to 4,024 and 5,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,024 : 5,383.50 = 5,383.50 : x
2. Step 2: Convert to fraction form
   4,024/5,383.50 = 5,383.50/x
3. Step 3: Cross multiply
   4,024x = 5,383.50 × 5,383.50
4. Step 4: Simplify right side
   4,024x = 28,982,072.25
5. Step 5: Solve for x
   x = 28,982,072.25/4,024
6. Step 6: Final answer
   x = 7,202.30