Finding the Third Proportional to 3,530 and 5,584

Step by Step Solution

1. Step 1: Write the proportion equation
   3,530 : 5,584 = 5,584 : x
2. Step 2: Convert to fraction form
   3,530/5,584 = 5,584/x
3. Step 3: Cross multiply
   3,530x = 5,584 × 5,584
4. Step 4: Simplify right side
   3,530x = 31,181,056
5. Step 5: Solve for x
   x = 31,181,056/3,530
6. Step 6: Final answer
   x = 8,833.16