Finding the Third Proportional to 2,589.75 and 5,619.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.75 : 5,619.38 = 5,619.38 : x
2. Step 2: Convert to fraction form
   2,589.75/5,619.38 = 5,619.38/x
3. Step 3: Cross multiply
   2,589.75x = 5,619.38 × 5,619.38
4. Step 4: Simplify right side
   2,589.75x = 31,577,375.39
5. Step 5: Solve for x
   x = 31,577,375.39/2,589.75
6. Step 6: Final answer
   x = 12,193.21