Finding the Third Proportional to 448.69 and 693.42

Step by Step Solution

1. Step 1: Write the proportion equation
   448.69 : 693.42 = 693.42 : x
2. Step 2: Convert to fraction form
   448.69/693.42 = 693.42/x
3. Step 3: Cross multiply
   448.69x = 693.42 × 693.42
4. Step 4: Simplify right side
   448.69x = 480,833.90
5. Step 5: Solve for x
   x = 480,833.90/448.69
6. Step 6: Final answer
   x = 1,071.65