Finding the Third Proportional to 1,078.50 and 1,823.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078.50 : 1,823.75 = 1,823.75 : x
2. Step 2: Convert to fraction form
   1,078.50/1,823.75 = 1,823.75/x
3. Step 3: Cross multiply
   1,078.50x = 1,823.75 × 1,823.75
4. Step 4: Simplify right side
   1,078.50x = 3,326,064.06
5. Step 5: Solve for x
   x = 3,326,064.06/1,078.50
6. Step 6: Final answer
   x = 3,083.97