Finding the Third Proportional to 5,213 and 10,966

Step by Step Solution

1. Step 1: Write the proportion equation
   5,213 : 10,966 = 10,966 : x
2. Step 2: Convert to fraction form
   5,213/10,966 = 10,966/x
3. Step 3: Cross multiply
   5,213x = 10,966 × 10,966
4. Step 4: Simplify right side
   5,213x = 120,253,156
5. Step 5: Solve for x
   x = 120,253,156/5,213
6. Step 6: Final answer
   x = 23,067.94