Finding the Third Proportional to 584 and 1,227.25

Step by Step Solution

1. Step 1: Write the proportion equation
   584 : 1,227.25 = 1,227.25 : x
2. Step 2: Convert to fraction form
   584/1,227.25 = 1,227.25/x
3. Step 3: Cross multiply
   584x = 1,227.25 × 1,227.25
4. Step 4: Simplify right side
   584x = 1,506,142.56
5. Step 5: Solve for x
   x = 1,506,142.56/584
6. Step 6: Final answer
   x = 2,579.01