Finding the Third Proportional to 1,078.69 and 1,640.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078.69 : 1,640.81 = 1,640.81 : x
2. Step 2: Convert to fraction form
   1,078.69/1,640.81 = 1,640.81/x
3. Step 3: Cross multiply
   1,078.69x = 1,640.81 × 1,640.81
4. Step 4: Simplify right side
   1,078.69x = 2,692,265.66
5. Step 5: Solve for x
   x = 2,692,265.66/1,078.69
6. Step 6: Final answer
   x = 2,495.87