Finding the Third Proportional to 19,820 and 41,272

Step by Step Solution

1. Step 1: Write the proportion equation
   19,820 : 41,272 = 41,272 : x
2. Step 2: Convert to fraction form
   19,820/41,272 = 41,272/x
3. Step 3: Cross multiply
   19,820x = 41,272 × 41,272
4. Step 4: Simplify right side
   19,820x = 1,703,377,984
5. Step 5: Solve for x
   x = 1,703,377,984/19,820
6. Step 6: Final answer
   x = 85,942.38