Finding the Third Proportional to 2,574 and 5,538

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574 : 5,538 = 5,538 : x
2. Step 2: Convert to fraction form
   2,574/5,538 = 5,538/x
3. Step 3: Cross multiply
   2,574x = 5,538 × 5,538
4. Step 4: Simplify right side
   2,574x = 30,669,444
5. Step 5: Solve for x
   x = 30,669,444/2,574
6. Step 6: Final answer
   x = 11,915.09