Finding the Third Proportional to 472.75 and 1,002.88

Step by Step Solution

1. Step 1: Write the proportion equation
   472.75 : 1,002.88 = 1,002.88 : x
2. Step 2: Convert to fraction form
   472.75/1,002.88 = 1,002.88/x
3. Step 3: Cross multiply
   472.75x = 1,002.88 × 1,002.88
4. Step 4: Simplify right side
   472.75x = 1,005,758.27
5. Step 5: Solve for x
   x = 1,005,758.27/472.75
6. Step 6: Final answer
   x = 2,127.46