Finding the Third Proportional to 35,919 and 83,902

Step by Step Solution

1. Step 1: Write the proportion equation
   35,919 : 83,902 = 83,902 : x
2. Step 2: Convert to fraction form
   35,919/83,902 = 83,902/x
3. Step 3: Cross multiply
   35,919x = 83,902 × 83,902
4. Step 4: Simplify right side
   35,919x = 7,039,545,604
5. Step 5: Solve for x
   x = 7,039,545,604/35,919
6. Step 6: Final answer
   x = 195,983.90