Finding the Third Proportional to 315.42 and 693.42

Step by Step Solution

1. Step 1: Write the proportion equation
   315.42 : 693.42 = 693.42 : x
2. Step 2: Convert to fraction form
   315.42/693.42 = 693.42/x
3. Step 3: Cross multiply
   315.42x = 693.42 × 693.42
4. Step 4: Simplify right side
   315.42x = 480,833.90
5. Step 5: Solve for x
   x = 480,833.90/315.42
6. Step 6: Final answer
   x = 1,524.42