Finding the Third Proportional to 9,872 and 17,728

Step by Step Solution

1. Step 1: Write the proportion equation
   9,872 : 17,728 = 17,728 : x
2. Step 2: Convert to fraction form
   9,872/17,728 = 17,728/x
3. Step 3: Cross multiply
   9,872x = 17,728 × 17,728
4. Step 4: Simplify right side
   9,872x = 314,281,984
5. Step 5: Solve for x
   x = 314,281,984/9,872
6. Step 6: Final answer
   x = 31,835.70