Finding the Third Proportional to 472.88 and 693.38

Step by Step Solution

1. Step 1: Write the proportion equation
   472.88 : 693.38 = 693.38 : x
2. Step 2: Convert to fraction form
   472.88/693.38 = 693.38/x
3. Step 3: Cross multiply
   472.88x = 693.38 × 693.38
4. Step 4: Simplify right side
   472.88x = 480,768.89
5. Step 5: Solve for x
   x = 480,768.89/472.88
6. Step 6: Final answer
   x = 1,016.69