Finding the Third Proportional to 1,078.31 and 1,382.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078.31 : 1,382.91 = 1,382.91 : x
2. Step 2: Convert to fraction form
   1,078.31/1,382.91 = 1,382.91/x
3. Step 3: Cross multiply
   1,078.31x = 1,382.91 × 1,382.91
4. Step 4: Simplify right side
   1,078.31x = 1,912,429.70
5. Step 5: Solve for x
   x = 1,912,429.70/1,078.31
6. Step 6: Final answer
   x = 1,773.54