Finding the Third Proportional to 5,886 and 10,836

Step by Step Solution

1. Step 1: Write the proportion equation
   5,886 : 10,836 = 10,836 : x
2. Step 2: Convert to fraction form
   5,886/10,836 = 10,836/x
3. Step 3: Cross multiply
   5,886x = 10,836 × 10,836
4. Step 4: Simplify right side
   5,886x = 117,418,896
5. Step 5: Solve for x
   x = 117,418,896/5,886
6. Step 6: Final answer
   x = 19,948.84