Finding the Third Proportional to 3,583.50 and 5,337

Step by Step Solution

1. Step 1: Write the proportion equation
   3,583.50 : 5,337 = 5,337 : x
2. Step 2: Convert to fraction form
   3,583.50/5,337 = 5,337/x
3. Step 3: Cross multiply
   3,583.50x = 5,337 × 5,337
4. Step 4: Simplify right side
   3,583.50x = 28,483,569
5. Step 5: Solve for x
   x = 28,483,569/3,583.50
6. Step 6: Final answer
   x = 7,948.53