Finding the Third Proportional to 20,212 and 41,002

Step by Step Solution

1. Step 1: Write the proportion equation
   20,212 : 41,002 = 41,002 : x
2. Step 2: Convert to fraction form
   20,212/41,002 = 41,002/x
3. Step 3: Cross multiply
   20,212x = 41,002 × 41,002
4. Step 4: Simplify right side
   20,212x = 1,681,164,004
5. Step 5: Solve for x
   x = 1,681,164,004/20,212
6. Step 6: Final answer
   x = 83,176.53