Finding the Third Proportional to 9,836 and 19,180

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836 : 19,180 = 19,180 : x
2. Step 2: Convert to fraction form
   9,836/19,180 = 19,180/x
3. Step 3: Cross multiply
   9,836x = 19,180 × 19,180
4. Step 4: Simplify right side
   9,836x = 367,872,400
5. Step 5: Solve for x
   x = 367,872,400/9,836
6. Step 6: Final answer
   x = 37,400.61