Finding the Third Proportional to 582.47 and 1,267.59

Step by Step Solution

1. Step 1: Write the proportion equation
   582.47 : 1,267.59 = 1,267.59 : x
2. Step 2: Convert to fraction form
   582.47/1,267.59 = 1,267.59/x
3. Step 3: Cross multiply
   582.47x = 1,267.59 × 1,267.59
4. Step 4: Simplify right side
   582.47x = 1,606,793.92
5. Step 5: Solve for x
   x = 1,606,793.92/582.47
6. Step 6: Final answer
   x = 2,758.59