Finding the Third Proportional to 1,168 and 1,284

Step by Step Solution

1. Step 1: Write the proportion equation
   1,168 : 1,284 = 1,284 : x
2. Step 2: Convert to fraction form
   1,168/1,284 = 1,284/x
3. Step 3: Cross multiply
   1,168x = 1,284 × 1,284
4. Step 4: Simplify right side
   1,168x = 1,648,656
5. Step 5: Solve for x
   x = 1,648,656/1,168
6. Step 6: Final answer
   x = 1,411.52