Finding the Third Proportional to 9,509 and 20,170

Step by Step Solution

1. Step 1: Write the proportion equation
   9,509 : 20,170 = 20,170 : x
2. Step 2: Convert to fraction form
   9,509/20,170 = 20,170/x
3. Step 3: Cross multiply
   9,509x = 20,170 × 20,170
4. Step 4: Simplify right side
   9,509x = 406,828,900
5. Step 5: Solve for x
   x = 406,828,900/9,509
6. Step 6: Final answer
   x = 42,783.56