Finding the Third Proportional to 16,905 and 37,266

Step by Step Solution

1. Step 1: Write the proportion equation
   16,905 : 37,266 = 37,266 : x
2. Step 2: Convert to fraction form
   16,905/37,266 = 37,266/x
3. Step 3: Cross multiply
   16,905x = 37,266 × 37,266
4. Step 4: Simplify right side
   16,905x = 1,388,754,756
5. Step 5: Solve for x
   x = 1,388,754,756/16,905
6. Step 6: Final answer
   x = 82,150.53