Finding the Third Proportional to 35,922 and 83,901

Step by Step Solution

1. Step 1: Write the proportion equation
   35,922 : 83,901 = 83,901 : x
2. Step 2: Convert to fraction form
   35,922/83,901 = 83,901/x
3. Step 3: Cross multiply
   35,922x = 83,901 × 83,901
4. Step 4: Simplify right side
   35,922x = 7,039,377,801
5. Step 5: Solve for x
   x = 7,039,377,801/35,922
6. Step 6: Final answer
   x = 195,962.86