Finding the Third Proportional to 9,676 and 19,160

Step by Step Solution

1. Step 1: Write the proportion equation
   9,676 : 19,160 = 19,160 : x
2. Step 2: Convert to fraction form
   9,676/19,160 = 19,160/x
3. Step 3: Cross multiply
   9,676x = 19,160 × 19,160
4. Step 4: Simplify right side
   9,676x = 367,105,600
5. Step 5: Solve for x
   x = 367,105,600/9,676
6. Step 6: Final answer
   x = 37,939.81