Finding the Third Proportional to 35,912 and 83,876

Step by Step Solution

1. Step 1: Write the proportion equation
   35,912 : 83,876 = 83,876 : x
2. Step 2: Convert to fraction form
   35,912/83,876 = 83,876/x
3. Step 3: Cross multiply
   35,912x = 83,876 × 83,876
4. Step 4: Simplify right side
   35,912x = 7,035,183,376
5. Step 5: Solve for x
   x = 7,035,183,376/35,912
6. Step 6: Final answer
   x = 195,900.63