Finding the Third Proportional to 9,185 and 19,666

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185 : 19,666 = 19,666 : x
2. Step 2: Convert to fraction form
   9,185/19,666 = 19,666/x
3. Step 3: Cross multiply
   9,185x = 19,666 × 19,666
4. Step 4: Simplify right side
   9,185x = 386,751,556
5. Step 5: Solve for x
   x = 386,751,556/9,185
6. Step 6: Final answer
   x = 42,106.87