Finding the Third Proportional to 16,974 and 37,836

Step by Step Solution

1. Step 1: Write the proportion equation
   16,974 : 37,836 = 37,836 : x
2. Step 2: Convert to fraction form
   16,974/37,836 = 37,836/x
3. Step 3: Cross multiply
   16,974x = 37,836 × 37,836
4. Step 4: Simplify right side
   16,974x = 1,431,562,896
5. Step 5: Solve for x
   x = 1,431,562,896/16,974
6. Step 6: Final answer
   x = 84,338.57