Finding the Third Proportional to 35,886 and 83,820

Step by Step Solution

1. Step 1: Write the proportion equation
   35,886 : 83,820 = 83,820 : x
2. Step 2: Convert to fraction form
   35,886/83,820 = 83,820/x
3. Step 3: Cross multiply
   35,886x = 83,820 × 83,820
4. Step 4: Simplify right side
   35,886x = 7,025,792,400
5. Step 5: Solve for x
   x = 7,025,792,400/35,886
6. Step 6: Final answer
   x = 195,780.87