Finding the Third Proportional to 2,538 and 5,580

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538 : 5,580 = 5,580 : x
2. Step 2: Convert to fraction form
   2,538/5,580 = 5,580/x
3. Step 3: Cross multiply
   2,538x = 5,580 × 5,580
4. Step 4: Simplify right side
   2,538x = 31,136,400
5. Step 5: Solve for x
   x = 31,136,400/2,538
6. Step 6: Final answer
   x = 12,268.09