Finding the Third Proportional to 1,378.69 and 1,960.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.69 : 1,960.31 = 1,960.31 : x
2. Step 2: Convert to fraction form
   1,378.69/1,960.31 = 1,960.31/x
3. Step 3: Cross multiply
   1,378.69x = 1,960.31 × 1,960.31
4. Step 4: Simplify right side
   1,378.69x = 3,842,825.10
5. Step 5: Solve for x
   x = 3,842,825.10/1,378.69
6. Step 6: Final answer
   x = 2,787.31