Finding the Third Proportional to 665.25 and 1,426.69

Step by Step Solution

1. Step 1: Write the proportion equation
   665.25 : 1,426.69 = 1,426.69 : x
2. Step 2: Convert to fraction form
   665.25/1,426.69 = 1,426.69/x
3. Step 3: Cross multiply
   665.25x = 1,426.69 × 1,426.69
4. Step 4: Simplify right side
   665.25x = 2,035,437.22
5. Step 5: Solve for x
   x = 2,035,437.22/665.25
6. Step 6: Final answer
   x = 3,059.66