Finding the Third Proportional to 5,166 and 10,794

Step by Step Solution

1. Step 1: Write the proportion equation
   5,166 : 10,794 = 10,794 : x
2. Step 2: Convert to fraction form
   5,166/10,794 = 10,794/x
3. Step 3: Cross multiply
   5,166x = 10,794 × 10,794
4. Step 4: Simplify right side
   5,166x = 116,510,436
5. Step 5: Solve for x
   x = 116,510,436/5,166
6. Step 6: Final answer
   x = 22,553.32