Finding the Third Proportional to 10,966 and 23,685

Step by Step Solution

1. Step 1: Write the proportion equation
   10,966 : 23,685 = 23,685 : x
2. Step 2: Convert to fraction form
   10,966/23,685 = 23,685/x
3. Step 3: Cross multiply
   10,966x = 23,685 × 23,685
4. Step 4: Simplify right side
   10,966x = 560,979,225
5. Step 5: Solve for x
   x = 560,979,225/10,966
6. Step 6: Final answer
   x = 51,156.23