Finding the Third Proportional to 9,346 and 10,966

Step by Step Solution

1. Step 1: Write the proportion equation
   9,346 : 10,966 = 10,966 : x
2. Step 2: Convert to fraction form
   9,346/10,966 = 10,966/x
3. Step 3: Cross multiply
   9,346x = 10,966 × 10,966
4. Step 4: Simplify right side
   9,346x = 120,253,156
5. Step 5: Solve for x
   x = 120,253,156/9,346
6. Step 6: Final answer
   x = 12,866.80