Finding the Third Proportional to 10,064 and 20,164

Step by Step Solution

1. Step 1: Write the proportion equation
   10,064 : 20,164 = 20,164 : x
2. Step 2: Convert to fraction form
   10,064/20,164 = 20,164/x
3. Step 3: Cross multiply
   10,064x = 20,164 × 20,164
4. Step 4: Simplify right side
   10,064x = 406,586,896
5. Step 5: Solve for x
   x = 406,586,896/10,064
6. Step 6: Final answer
   x = 40,400.13