Finding the Third Proportional to 5,106 and 10,836

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106 : 10,836 = 10,836 : x
2. Step 2: Convert to fraction form
   5,106/10,836 = 10,836/x
3. Step 3: Cross multiply
   5,106x = 10,836 × 10,836
4. Step 4: Simplify right side
   5,106x = 117,418,896
5. Step 5: Solve for x
   x = 117,418,896/5,106
6. Step 6: Final answer
   x = 22,996.26