Finding the Third Proportional to 2,112 and 5,208

Step by Step Solution

1. Step 1: Write the proportion equation
   2,112 : 5,208 = 5,208 : x
2. Step 2: Convert to fraction form
   2,112/5,208 = 5,208/x
3. Step 3: Cross multiply
   2,112x = 5,208 × 5,208
4. Step 4: Simplify right side
   2,112x = 27,123,264
5. Step 5: Solve for x
   x = 27,123,264/2,112
6. Step 6: Final answer
   x = 12,842.45