Finding the Third Proportional to 3,792 and 10,176

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792 : 10,176 = 10,176 : x
2. Step 2: Convert to fraction form
   3,792/10,176 = 10,176/x
3. Step 3: Cross multiply
   3,792x = 10,176 × 10,176
4. Step 4: Simplify right side
   3,792x = 103,550,976
5. Step 5: Solve for x
   x = 103,550,976/3,792
6. Step 6: Final answer
   x = 27,307.75