Finding the Third Proportional to 2,563.25 and 5,589.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.25 : 5,589.69 = 5,589.69 : x
2. Step 2: Convert to fraction form
   2,563.25/5,589.69 = 5,589.69/x
3. Step 3: Cross multiply
   2,563.25x = 5,589.69 × 5,589.69
4. Step 4: Simplify right side
   2,563.25x = 31,244,606.35
5. Step 5: Solve for x
   x = 31,244,606.35/2,563.25
6. Step 6: Final answer
   x = 12,189.45