Finding the Third Proportional to 2,548.41 and 5,643.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,548.41 : 5,643.56 = 5,643.56 : x
2. Step 2: Convert to fraction form
   2,548.41/5,643.56 = 5,643.56/x
3. Step 3: Cross multiply
   2,548.41x = 5,643.56 × 5,643.56
4. Step 4: Simplify right side
   2,548.41x = 31,849,797.69
5. Step 5: Solve for x
   x = 31,849,797.69/2,548.41
6. Step 6: Final answer
   x = 12,497.93