Finding the Third Proportional to 2,017.50 and 4,569.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,017.50 : 4,569.75 = 4,569.75 : x
2. Step 2: Convert to fraction form
   2,017.50/4,569.75 = 4,569.75/x
3. Step 3: Cross multiply
   2,017.50x = 4,569.75 × 4,569.75
4. Step 4: Simplify right side
   2,017.50x = 20,882,615.06
5. Step 5: Solve for x
   x = 20,882,615.06/2,017.50
6. Step 6: Final answer
   x = 10,350.74