Finding the Third Proportional to 3,601 and 5,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,601 : 5,285.50 = 5,285.50 : x
2. Step 2: Convert to fraction form
   3,601/5,285.50 = 5,285.50/x
3. Step 3: Cross multiply
   3,601x = 5,285.50 × 5,285.50
4. Step 4: Simplify right side
   3,601x = 27,936,510.25
5. Step 5: Solve for x
   x = 27,936,510.25/3,601
6. Step 6: Final answer
   x = 7,757.99