Finding the Third Proportional to 3,892 and 5,574

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892 : 5,574 = 5,574 : x
2. Step 2: Convert to fraction form
   3,892/5,574 = 5,574/x
3. Step 3: Cross multiply
   3,892x = 5,574 × 5,574
4. Step 4: Simplify right side
   3,892x = 31,069,476
5. Step 5: Solve for x
   x = 31,069,476/3,892
6. Step 6: Final answer
   x = 7,982.91