Finding the Third Proportional to 827.50 and 1,284

Step by Step Solution

1. Step 1: Write the proportion equation
   827.50 : 1,284 = 1,284 : x
2. Step 2: Convert to fraction form
   827.50/1,284 = 1,284/x
3. Step 3: Cross multiply
   827.50x = 1,284 × 1,284
4. Step 4: Simplify right side
   827.50x = 1,648,656
5. Step 5: Solve for x
   x = 1,648,656/827.50
6. Step 6: Final answer
   x = 1,992.33