Finding the Third Proportional to 16,891 and 37,666

Step by Step Solution

1. Step 1: Write the proportion equation
   16,891 : 37,666 = 37,666 : x
2. Step 2: Convert to fraction form
   16,891/37,666 = 37,666/x
3. Step 3: Cross multiply
   16,891x = 37,666 × 37,666
4. Step 4: Simplify right side
   16,891x = 1,418,727,556
5. Step 5: Solve for x
   x = 1,418,727,556/16,891
6. Step 6: Final answer
   x = 83,993.11