Finding the Third Proportional to 636.75 and 1,369.31

Step by Step Solution

1. Step 1: Write the proportion equation
   636.75 : 1,369.31 = 1,369.31 : x
2. Step 2: Convert to fraction form
   636.75/1,369.31 = 1,369.31/x
3. Step 3: Cross multiply
   636.75x = 1,369.31 × 1,369.31
4. Step 4: Simplify right side
   636.75x = 1,875,016.72
5. Step 5: Solve for x
   x = 1,875,016.72/636.75
6. Step 6: Final answer
   x = 2,944.67