Finding the Third Proportional to 584.72 and 1,355.48

Step by Step Solution

1. Step 1: Write the proportion equation
   584.72 : 1,355.48 = 1,355.48 : x
2. Step 2: Convert to fraction form
   584.72/1,355.48 = 1,355.48/x
3. Step 3: Cross multiply
   584.72x = 1,355.48 × 1,355.48
4. Step 4: Simplify right side
   584.72x = 1,837,337.89
5. Step 5: Solve for x
   x = 1,837,337.89/584.72
6. Step 6: Final answer
   x = 3,142.26