Finding the Third Proportional to 9,734 and 13,872

Step by Step Solution

1. Step 1: Write the proportion equation
   9,734 : 13,872 = 13,872 : x
2. Step 2: Convert to fraction form
   9,734/13,872 = 13,872/x
3. Step 3: Cross multiply
   9,734x = 13,872 × 13,872
4. Step 4: Simplify right side
   9,734x = 192,432,384
5. Step 5: Solve for x
   x = 192,432,384/9,734
6. Step 6: Final answer
   x = 19,769.10