Finding the Third Proportional to 9,792 and 18,112

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792 : 18,112 = 18,112 : x
2. Step 2: Convert to fraction form
   9,792/18,112 = 18,112/x
3. Step 3: Cross multiply
   9,792x = 18,112 × 18,112
4. Step 4: Simplify right side
   9,792x = 328,044,544
5. Step 5: Solve for x
   x = 328,044,544/9,792
6. Step 6: Final answer
   x = 33,501.28