Finding the Third Proportional to 1,378.69 and 2,016.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.69 : 2,016.84 = 2,016.84 : x
2. Step 2: Convert to fraction form
   1,378.69/2,016.84 = 2,016.84/x
3. Step 3: Cross multiply
   1,378.69x = 2,016.84 × 2,016.84
4. Step 4: Simplify right side
   1,378.69x = 4,067,658.71
5. Step 5: Solve for x
   x = 4,067,658.71/1,378.69
6. Step 6: Final answer
   x = 2,950.38