Finding the Third Proportional to 579.80 and 1,250.72

Step by Step Solution

1. Step 1: Write the proportion equation
   579.80 : 1,250.72 = 1,250.72 : x
2. Step 2: Convert to fraction form
   579.80/1,250.72 = 1,250.72/x
3. Step 3: Cross multiply
   579.80x = 1,250.72 × 1,250.72
4. Step 4: Simplify right side
   579.80x = 1,564,297.39
5. Step 5: Solve for x
   x = 1,564,297.39/579.80
6. Step 6: Final answer
   x = 2,698.01