Finding the Third Proportional to 2,564 and 5,538

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564 : 5,538 = 5,538 : x
2. Step 2: Convert to fraction form
   2,564/5,538 = 5,538/x
3. Step 3: Cross multiply
   2,564x = 5,538 × 5,538
4. Step 4: Simplify right side
   2,564x = 30,669,444
5. Step 5: Solve for x
   x = 30,669,444/2,564
6. Step 6: Final answer
   x = 11,961.56