Finding the Third Proportional to 449.38 and 693.88

Step by Step Solution

1. Step 1: Write the proportion equation
   449.38 : 693.88 = 693.88 : x
2. Step 2: Convert to fraction form
   449.38/693.88 = 693.88/x
3. Step 3: Cross multiply
   449.38x = 693.88 × 693.88
4. Step 4: Simplify right side
   449.38x = 481,462.52
5. Step 5: Solve for x
   x = 481,462.52/449.38
6. Step 6: Final answer
   x = 1,071.40