Finding the Third Proportional to 35,330 and 76,795

Step by Step Solution

1. Step 1: Write the proportion equation
   35,330 : 76,795 = 76,795 : x
2. Step 2: Convert to fraction form
   35,330/76,795 = 76,795/x
3. Step 3: Cross multiply
   35,330x = 76,795 × 76,795
4. Step 4: Simplify right side
   35,330x = 5,897,472,025
5. Step 5: Solve for x
   x = 5,897,472,025/35,330
6. Step 6: Final answer
   x = 166,925.33