Finding the Third Proportional to 636 and 1,014.56

Step by Step Solution

1. Step 1: Write the proportion equation
   636 : 1,014.56 = 1,014.56 : x
2. Step 2: Convert to fraction form
   636/1,014.56 = 1,014.56/x
3. Step 3: Cross multiply
   636x = 1,014.56 × 1,014.56
4. Step 4: Simplify right side
   636x = 1,029,337.07
5. Step 5: Solve for x
   x = 1,029,337.07/636
6. Step 6: Final answer
   x = 1,618.45