Finding the Third Proportional to 500 and 1,067.88

Step by Step Solution

1. Step 1: Write the proportion equation
   500 : 1,067.88 = 1,067.88 : x
2. Step 2: Convert to fraction form
   500/1,067.88 = 1,067.88/x
3. Step 3: Cross multiply
   500x = 1,067.88 × 1,067.88
4. Step 4: Simplify right side
   500x = 1,140,357.02
5. Step 5: Solve for x
   x = 1,140,357.02/500
6. Step 6: Final answer
   x = 2,280.71