Finding the Third Proportional to 2,538 and 5,148.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538 : 5,148.56 = 5,148.56 : x
2. Step 2: Convert to fraction form
   2,538/5,148.56 = 5,148.56/x
3. Step 3: Cross multiply
   2,538x = 5,148.56 × 5,148.56
4. Step 4: Simplify right side
   2,538x = 26,507,695.82
5. Step 5: Solve for x
   x = 26,507,695.82/2,538
6. Step 6: Final answer
   x = 10,444.32