Finding the Third Proportional to 1,096 and 1,288

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096 : 1,288 = 1,288 : x
2. Step 2: Convert to fraction form
   1,096/1,288 = 1,288/x
3. Step 3: Cross multiply
   1,096x = 1,288 × 1,288
4. Step 4: Simplify right side
   1,096x = 1,658,944
5. Step 5: Solve for x
   x = 1,658,944/1,096
6. Step 6: Final answer
   x = 1,513.64