Finding the Third Proportional to 557 and 1,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   557 : 1,259.50 = 1,259.50 : x
2. Step 2: Convert to fraction form
   557/1,259.50 = 1,259.50/x
3. Step 3: Cross multiply
   557x = 1,259.50 × 1,259.50
4. Step 4: Simplify right side
   557x = 1,586,340.25
5. Step 5: Solve for x
   x = 1,586,340.25/557
6. Step 6: Final answer
   x = 2,848.01