Finding the Third Proportional to 2,589.47 and 5,581.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.47 : 5,581.41 = 5,581.41 : x
2. Step 2: Convert to fraction form
   2,589.47/5,581.41 = 5,581.41/x
3. Step 3: Cross multiply
   2,589.47x = 5,581.41 × 5,581.41
4. Step 4: Simplify right side
   2,589.47x = 31,152,095.73
5. Step 5: Solve for x
   x = 31,152,095.73/2,589.47
6. Step 6: Final answer
   x = 12,030.30