Finding the Third Proportional to 9,189 and 19,674

Step by Step Solution

1. Step 1: Write the proportion equation
   9,189 : 19,674 = 19,674 : x
2. Step 2: Convert to fraction form
   9,189/19,674 = 19,674/x
3. Step 3: Cross multiply
   9,189x = 19,674 × 19,674
4. Step 4: Simplify right side
   9,189x = 387,066,276
5. Step 5: Solve for x
   x = 387,066,276/9,189
6. Step 6: Final answer
   x = 42,122.79