Finding the Third Proportional to 35,892 and 83,835

Step by Step Solution

1. Step 1: Write the proportion equation
   35,892 : 83,835 = 83,835 : x
2. Step 2: Convert to fraction form
   35,892/83,835 = 83,835/x
3. Step 3: Cross multiply
   35,892x = 83,835 × 83,835
4. Step 4: Simplify right side
   35,892x = 7,028,307,225
5. Step 5: Solve for x
   x = 7,028,307,225/35,892
6. Step 6: Final answer
   x = 195,818.21