Finding the Third Proportional to 2,112 and 4,947

Step by Step Solution

1. Step 1: Write the proportion equation
   2,112 : 4,947 = 4,947 : x
2. Step 2: Convert to fraction form
   2,112/4,947 = 4,947/x
3. Step 3: Cross multiply
   2,112x = 4,947 × 4,947
4. Step 4: Simplify right side
   2,112x = 24,472,809
5. Step 5: Solve for x
   x = 24,472,809/2,112
6. Step 6: Final answer
   x = 11,587.50