Finding the Third Proportional to 2,538 and 3,648

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538 : 3,648 = 3,648 : x
2. Step 2: Convert to fraction form
   2,538/3,648 = 3,648/x
3. Step 3: Cross multiply
   2,538x = 3,648 × 3,648
4. Step 4: Simplify right side
   2,538x = 13,307,904
5. Step 5: Solve for x
   x = 13,307,904/2,538
6. Step 6: Final answer
   x = 5,243.46