Finding the Third Proportional to 35,885 and 83,817

Step by Step Solution

1. Step 1: Write the proportion equation
   35,885 : 83,817 = 83,817 : x
2. Step 2: Convert to fraction form
   35,885/83,817 = 83,817/x
3. Step 3: Cross multiply
   35,885x = 83,817 × 83,817
4. Step 4: Simplify right side
   35,885x = 7,025,289,489
5. Step 5: Solve for x
   x = 7,025,289,489/35,885
6. Step 6: Final answer
   x = 195,772.31