Finding the Third Proportional to 2,645.75 and 5,643.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.75 : 5,643.25 = 5,643.25 : x
2. Step 2: Convert to fraction form
   2,645.75/5,643.25 = 5,643.25/x
3. Step 3: Cross multiply
   2,645.75x = 5,643.25 × 5,643.25
4. Step 4: Simplify right side
   2,645.75x = 31,846,270.56
5. Step 5: Solve for x
   x = 31,846,270.56/2,645.75
6. Step 6: Final answer
   x = 12,036.76