Finding the Third Proportional to 2,017.50 and 4,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,017.50 : 4,442.50 = 4,442.50 : x
2. Step 2: Convert to fraction form
   2,017.50/4,442.50 = 4,442.50/x
3. Step 3: Cross multiply
   2,017.50x = 4,442.50 × 4,442.50
4. Step 4: Simplify right side
   2,017.50x = 19,735,806.25
5. Step 5: Solve for x
   x = 19,735,806.25/2,017.50
6. Step 6: Final answer
   x = 9,782.31