Finding the Third Proportional to 3,590 and 5,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,590 : 5,243.50 = 5,243.50 : x
2. Step 2: Convert to fraction form
   3,590/5,243.50 = 5,243.50/x
3. Step 3: Cross multiply
   3,590x = 5,243.50 × 5,243.50
4. Step 4: Simplify right side
   3,590x = 27,494,292.25
5. Step 5: Solve for x
   x = 27,494,292.25/3,590
6. Step 6: Final answer
   x = 7,658.58