Finding the Third Proportional to 1,965.38 and 3,016.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965.38 : 3,016.69 = 3,016.69 : x
2. Step 2: Convert to fraction form
   1,965.38/3,016.69 = 3,016.69/x
3. Step 3: Cross multiply
   1,965.38x = 3,016.69 × 3,016.69
4. Step 4: Simplify right side
   1,965.38x = 9,100,403.47
5. Step 5: Solve for x
   x = 9,100,403.47/1,965.38
6. Step 6: Final answer
   x = 4,630.36