Finding the Third Proportional to 7,728 and 10,942

Step by Step Solution

1. Step 1: Write the proportion equation
   7,728 : 10,942 = 10,942 : x
2. Step 2: Convert to fraction form
   7,728/10,942 = 10,942/x
3. Step 3: Cross multiply
   7,728x = 10,942 × 10,942
4. Step 4: Simplify right side
   7,728x = 119,727,364
5. Step 5: Solve for x
   x = 119,727,364/7,728
6. Step 6: Final answer
   x = 15,492.67