Finding the Third Proportional to 585 and 1,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   585 : 1,255.50 = 1,255.50 : x
2. Step 2: Convert to fraction form
   585/1,255.50 = 1,255.50/x
3. Step 3: Cross multiply
   585x = 1,255.50 × 1,255.50
4. Step 4: Simplify right side
   585x = 1,576,280.25
5. Step 5: Solve for x
   x = 1,576,280.25/585
6. Step 6: Final answer
   x = 2,694.50