Finding the Third Proportional to 16,364 and 35,836

Step by Step Solution

1. Step 1: Write the proportion equation
   16,364 : 35,836 = 35,836 : x
2. Step 2: Convert to fraction form
   16,364/35,836 = 35,836/x
3. Step 3: Cross multiply
   16,364x = 35,836 × 35,836
4. Step 4: Simplify right side
   16,364x = 1,284,218,896
5. Step 5: Solve for x
   x = 1,284,218,896/16,364
6. Step 6: Final answer
   x = 78,478.30