Finding the Third Proportional to 2,112 and 2,288

Step by Step Solution

1. Step 1: Write the proportion equation
   2,112 : 2,288 = 2,288 : x
2. Step 2: Convert to fraction form
   2,112/2,288 = 2,288/x
3. Step 3: Cross multiply
   2,112x = 2,288 × 2,288
4. Step 4: Simplify right side
   2,112x = 5,234,944
5. Step 5: Solve for x
   x = 5,234,944/2,112
6. Step 6: Final answer
   x = 2,478.67