Finding the Third Proportional to 9,706 and 20,180

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706 : 20,180 = 20,180 : x
2. Step 2: Convert to fraction form
   9,706/20,180 = 20,180/x
3. Step 3: Cross multiply
   9,706x = 20,180 × 20,180
4. Step 4: Simplify right side
   9,706x = 407,232,400
5. Step 5: Solve for x
   x = 407,232,400/9,706
6. Step 6: Final answer
   x = 41,956.77