Finding the Third Proportional to 1,605.38 and 2,016.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.38 : 2,016.56 = 2,016.56 : x
2. Step 2: Convert to fraction form
   1,605.38/2,016.56 = 2,016.56/x
3. Step 3: Cross multiply
   1,605.38x = 2,016.56 × 2,016.56
4. Step 4: Simplify right side
   1,605.38x = 4,066,524.32
5. Step 5: Solve for x
   x = 4,066,524.32/1,605.38
6. Step 6: Final answer
   x = 2,533.07