Finding the Third Proportional to 1,296 and 1,872

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296 : 1,872 = 1,872 : x
2. Step 2: Convert to fraction form
   1,296/1,872 = 1,872/x
3. Step 3: Cross multiply
   1,296x = 1,872 × 1,872
4. Step 4: Simplify right side
   1,296x = 3,504,384
5. Step 5: Solve for x
   x = 3,504,384/1,296
6. Step 6: Final answer
   x = 2,704