Finding the Third Proportional to 1,282.50 and 2,747.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.50 : 2,747.25 = 2,747.25 : x
2. Step 2: Convert to fraction form
   1,282.50/2,747.25 = 2,747.25/x
3. Step 3: Cross multiply
   1,282.50x = 2,747.25 × 2,747.25
4. Step 4: Simplify right side
   1,282.50x = 7,547,382.56
5. Step 5: Solve for x
   x = 7,547,382.56/1,282.50
6. Step 6: Final answer
   x = 5,884.90