Finding the Third Proportional to 2,041.50 and 2,259.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,041.50 : 2,259.75 = 2,259.75 : x
2. Step 2: Convert to fraction form
   2,041.50/2,259.75 = 2,259.75/x
3. Step 3: Cross multiply
   2,041.50x = 2,259.75 × 2,259.75
4. Step 4: Simplify right side
   2,041.50x = 5,106,470.06
5. Step 5: Solve for x
   x = 5,106,470.06/2,041.50
6. Step 6: Final answer
   x = 2,501.33