Finding the Third Proportional to 3,589.50 and 5,453.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,589.50 : 5,453.25 = 5,453.25 : x
2. Step 2: Convert to fraction form
   3,589.50/5,453.25 = 5,453.25/x
3. Step 3: Cross multiply
   3,589.50x = 5,453.25 × 5,453.25
4. Step 4: Simplify right side
   3,589.50x = 29,737,935.56
5. Step 5: Solve for x
   x = 29,737,935.56/3,589.50
6. Step 6: Final answer
   x = 8,284.70