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

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538 : 5,574 = 5,574 : x
2. Step 2: Convert to fraction form
   2,538/5,574 = 5,574/x
3. Step 3: Cross multiply
   2,538x = 5,574 × 5,574
4. Step 4: Simplify right side
   2,538x = 31,069,476
5. Step 5: Solve for x
   x = 31,069,476/2,538
6. Step 6: Final answer
   x = 12,241.72