Finding the Third Proportional to 919.69 and 2,016.56

Step by Step Solution

1. Step 1: Write the proportion equation
   919.69 : 2,016.56 = 2,016.56 : x
2. Step 2: Convert to fraction form
   919.69/2,016.56 = 2,016.56/x
3. Step 3: Cross multiply
   919.69x = 2,016.56 × 2,016.56
4. Step 4: Simplify right side
   919.69x = 4,066,524.32
5. Step 5: Solve for x
   x = 4,066,524.32/919.69
6. Step 6: Final answer
   x = 4,421.64