Finding the Third Proportional to 19,538 and 41,902

Step by Step Solution

1. Step 1: Write the proportion equation
   19,538 : 41,902 = 41,902 : x
2. Step 2: Convert to fraction form
   19,538/41,902 = 41,902/x
3. Step 3: Cross multiply
   19,538x = 41,902 × 41,902
4. Step 4: Simplify right side
   19,538x = 1,755,777,604
5. Step 5: Solve for x
   x = 1,755,777,604/19,538
6. Step 6: Final answer
   x = 89,864.76