Finding the Third Proportional to 2,589.75 and 3,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.75 : 3,883.50 = 3,883.50 : x
2. Step 2: Convert to fraction form
   2,589.75/3,883.50 = 3,883.50/x
3. Step 3: Cross multiply
   2,589.75x = 3,883.50 × 3,883.50
4. Step 4: Simplify right side
   2,589.75x = 15,081,572.25
5. Step 5: Solve for x
   x = 15,081,572.25/2,589.75
6. Step 6: Final answer
   x = 5,823.56