Finding the Third Proportional to 3,256.88 and 5,754.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,256.88 : 5,754.38 = 5,754.38 : x
2. Step 2: Convert to fraction form
   3,256.88/5,754.38 = 5,754.38/x
3. Step 3: Cross multiply
   3,256.88x = 5,754.38 × 5,754.38
4. Step 4: Simplify right side
   3,256.88x = 33,112,831.64
5. Step 5: Solve for x
   x = 33,112,831.64/3,256.88
6. Step 6: Final answer
   x = 10,167.06