Finding the Third Proportional to 665.25 and 1,402.69

Step by Step Solution

1. Step 1: Write the proportion equation
   665.25 : 1,402.69 = 1,402.69 : x
2. Step 2: Convert to fraction form
   665.25/1,402.69 = 1,402.69/x
3. Step 3: Cross multiply
   665.25x = 1,402.69 × 1,402.69
4. Step 4: Simplify right side
   665.25x = 1,967,532.22
5. Step 5: Solve for x
   x = 1,967,532.22/665.25
6. Step 6: Final answer
   x = 2,957.58