Finding the Third Proportional to 3,584 and 7,078

Step by Step Solution

1. Step 1: Write the proportion equation
   3,584 : 7,078 = 7,078 : x
2. Step 2: Convert to fraction form
   3,584/7,078 = 7,078/x
3. Step 3: Cross multiply
   3,584x = 7,078 × 7,078
4. Step 4: Simplify right side
   3,584x = 50,098,084
5. Step 5: Solve for x
   x = 50,098,084/3,584
6. Step 6: Final answer
   x = 13,978.26