Finding the Third Proportional to 16,894 and 37,670

Step by Step Solution

1. Step 1: Write the proportion equation
   16,894 : 37,670 = 37,670 : x
2. Step 2: Convert to fraction form
   16,894/37,670 = 37,670/x
3. Step 3: Cross multiply
   16,894x = 37,670 × 37,670
4. Step 4: Simplify right side
   16,894x = 1,419,028,900
5. Step 5: Solve for x
   x = 1,419,028,900/16,894
6. Step 6: Final answer
   x = 83,996.03