Finding the Third Proportional to 8,736 and 19,180

Step by Step Solution

1. Step 1: Write the proportion equation
   8,736 : 19,180 = 19,180 : x
2. Step 2: Convert to fraction form
   8,736/19,180 = 19,180/x
3. Step 3: Cross multiply
   8,736x = 19,180 × 19,180
4. Step 4: Simplify right side
   8,736x = 367,872,400
5. Step 5: Solve for x
   x = 367,872,400/8,736
6. Step 6: Final answer
   x = 42,109.94