Finding the Third Proportional to 9,182 and 20,164

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182 : 20,164 = 20,164 : x
2. Step 2: Convert to fraction form
   9,182/20,164 = 20,164/x
3. Step 3: Cross multiply
   9,182x = 20,164 × 20,164
4. Step 4: Simplify right side
   9,182x = 406,586,896
5. Step 5: Solve for x
   x = 406,586,896/9,182
6. Step 6: Final answer
   x = 44,280.86