Finding the Third Proportional to 578 and 1,271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   578 : 1,271.50 = 1,271.50 : x
2. Step 2: Convert to fraction form
   578/1,271.50 = 1,271.50/x
3. Step 3: Cross multiply
   578x = 1,271.50 × 1,271.50
4. Step 4: Simplify right side
   578x = 1,616,712.25
5. Step 5: Solve for x
   x = 1,616,712.25/578
6. Step 6: Final answer
   x = 2,797.08