Finding the Third Proportional to 17,733 and 37,836

Step by Step Solution

1. Step 1: Write the proportion equation
   17,733 : 37,836 = 37,836 : x
2. Step 2: Convert to fraction form
   17,733/37,836 = 37,836/x
3. Step 3: Cross multiply
   17,733x = 37,836 × 37,836
4. Step 4: Simplify right side
   17,733x = 1,431,562,896
5. Step 5: Solve for x
   x = 1,431,562,896/17,733
6. Step 6: Final answer
   x = 80,728.75