Finding the Third Proportional to 3,584.25 and 5,756.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,584.25 : 5,756.06 = 5,756.06 : x
2. Step 2: Convert to fraction form
   3,584.25/5,756.06 = 5,756.06/x
3. Step 3: Cross multiply
   3,584.25x = 5,756.06 × 5,756.06
4. Step 4: Simplify right side
   3,584.25x = 33,132,255.50
5. Step 5: Solve for x
   x = 33,132,255.50/3,584.25
6. Step 6: Final answer
   x = 9,243.85