Finding the Third Proportional to 4,065.75 and 5,643.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,065.75 : 5,643.56 = 5,643.56 : x
2. Step 2: Convert to fraction form
   4,065.75/5,643.56 = 5,643.56/x
3. Step 3: Cross multiply
   4,065.75x = 5,643.56 × 5,643.56
4. Step 4: Simplify right side
   4,065.75x = 31,849,797.69
5. Step 5: Solve for x
   x = 31,849,797.69/4,065.75
6. Step 6: Final answer
   x = 7,833.68