Finding the Third Proportional to 664.69 and 1,416.71

Step by Step Solution

1. Step 1: Write the proportion equation
   664.69 : 1,416.71 = 1,416.71 : x
2. Step 2: Convert to fraction form
   664.69/1,416.71 = 1,416.71/x
3. Step 3: Cross multiply
   664.69x = 1,416.71 × 1,416.71
4. Step 4: Simplify right side
   664.69x = 2,007,064.35
5. Step 5: Solve for x
   x = 2,007,064.35/664.69
6. Step 6: Final answer
   x = 3,019.55