Finding the Third Proportional to 35,910 and 83,871

Step by Step Solution

1. Step 1: Write the proportion equation
   35,910 : 83,871 = 83,871 : x
2. Step 2: Convert to fraction form
   35,910/83,871 = 83,871/x
3. Step 3: Cross multiply
   35,910x = 83,871 × 83,871
4. Step 4: Simplify right side
   35,910x = 7,034,344,641
5. Step 5: Solve for x
   x = 7,034,344,641/35,910
6. Step 6: Final answer
   x = 195,888.18