Finding the Third Proportional to 13,364 and 21,836

Step by Step Solution

1. Step 1: Write the proportion equation
   13,364 : 21,836 = 21,836 : x
2. Step 2: Convert to fraction form
   13,364/21,836 = 21,836/x
3. Step 3: Cross multiply
   13,364x = 21,836 × 21,836
4. Step 4: Simplify right side
   13,364x = 476,810,896
5. Step 5: Solve for x
   x = 476,810,896/13,364
6. Step 6: Final answer
   x = 35,678.76