Finding the Third Proportional to 9,494 and 13,966

Step by Step Solution

1. Step 1: Write the proportion equation
   9,494 : 13,966 = 13,966 : x
2. Step 2: Convert to fraction form
   9,494/13,966 = 13,966/x
3. Step 3: Cross multiply
   9,494x = 13,966 × 13,966
4. Step 4: Simplify right side
   9,494x = 195,049,156
5. Step 5: Solve for x
   x = 195,049,156/9,494
6. Step 6: Final answer
   x = 20,544.47