Finding the Third Proportional to 2,538.56 and 3,952.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.56 : 3,952.69 = 3,952.69 : x
2. Step 2: Convert to fraction form
   2,538.56/3,952.69 = 3,952.69/x
3. Step 3: Cross multiply
   2,538.56x = 3,952.69 × 3,952.69
4. Step 4: Simplify right side
   2,538.56x = 15,623,738.47
5. Step 5: Solve for x
   x = 15,623,738.47/2,538.56
6. Step 6: Final answer
   x = 6,154.56