Finding the Third Proportional to 656.53 and 1,016.63

Step by Step Solution

1. Step 1: Write the proportion equation
   656.53 : 1,016.63 = 1,016.63 : x
2. Step 2: Convert to fraction form
   656.53/1,016.63 = 1,016.63/x
3. Step 3: Cross multiply
   656.53x = 1,016.63 × 1,016.63
4. Step 4: Simplify right side
   656.53x = 1,033,526.39
5. Step 5: Solve for x
   x = 1,033,526.39/656.53
6. Step 6: Final answer
   x = 1,574.22