Finding the Third Proportional to 2,106 and 3,384

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 3,384 = 3,384 : x
2. Step 2: Convert to fraction form
   2,106/3,384 = 3,384/x
3. Step 3: Cross multiply
   2,106x = 3,384 × 3,384
4. Step 4: Simplify right side
   2,106x = 11,451,456
5. Step 5: Solve for x
   x = 11,451,456/2,106
6. Step 6: Final answer
   x = 5,437.54