Finding the Third Proportional to 9,872 and 13,647

Step by Step Solution

1. Step 1: Write the proportion equation
   9,872 : 13,647 = 13,647 : x
2. Step 2: Convert to fraction form
   9,872/13,647 = 13,647/x
3. Step 3: Cross multiply
   9,872x = 13,647 × 13,647
4. Step 4: Simplify right side
   9,872x = 186,240,609
5. Step 5: Solve for x
   x = 186,240,609/9,872
6. Step 6: Final answer
   x = 18,865.54