Finding the Third Proportional to 10,864 and 11,792

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864 : 11,792 = 11,792 : x
2. Step 2: Convert to fraction form
   10,864/11,792 = 11,792/x
3. Step 3: Cross multiply
   10,864x = 11,792 × 11,792
4. Step 4: Simplify right side
   10,864x = 139,051,264
5. Step 5: Solve for x
   x = 139,051,264/10,864
6. Step 6: Final answer
   x = 12,799.27