Finding the Third Proportional to 1,292.25 and 2,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.25 : 2,757.50 = 2,757.50 : x
2. Step 2: Convert to fraction form
   1,292.25/2,757.50 = 2,757.50/x
3. Step 3: Cross multiply
   1,292.25x = 2,757.50 × 2,757.50
4. Step 4: Simplify right side
   1,292.25x = 7,603,806.25
5. Step 5: Solve for x
   x = 7,603,806.25/1,292.25
6. Step 6: Final answer
   x = 5,884.16