Finding the Third Proportional to 10,804 and 16,966

Step by Step Solution

1. Step 1: Write the proportion equation
   10,804 : 16,966 = 16,966 : x
2. Step 2: Convert to fraction form
   10,804/16,966 = 16,966/x
3. Step 3: Cross multiply
   10,804x = 16,966 × 16,966
4. Step 4: Simplify right side
   10,804x = 287,845,156
5. Step 5: Solve for x
   x = 287,845,156/10,804
6. Step 6: Final answer
   x = 26,642.46