Finding the Third Proportional to 10,792 and 12,760

Step by Step Solution

1. Step 1: Write the proportion equation
   10,792 : 12,760 = 12,760 : x
2. Step 2: Convert to fraction form
   10,792/12,760 = 12,760/x
3. Step 3: Cross multiply
   10,792x = 12,760 × 12,760
4. Step 4: Simplify right side
   10,792x = 162,817,600
5. Step 5: Solve for x
   x = 162,817,600/10,792
6. Step 6: Final answer
   x = 15,086.88