Finding the Third Proportional to 11,736 and 25,872

Step by Step Solution

1. Step 1: Write the proportion equation
   11,736 : 25,872 = 25,872 : x
2. Step 2: Convert to fraction form
   11,736/25,872 = 25,872/x
3. Step 3: Cross multiply
   11,736x = 25,872 × 25,872
4. Step 4: Simplify right side
   11,736x = 669,360,384
5. Step 5: Solve for x
   x = 669,360,384/11,736
6. Step 6: Final answer
   x = 57,034.80