Finding the Third Proportional to 35,105 and 75,830

Step by Step Solution

1. Step 1: Write the proportion equation
   35,105 : 75,830 = 75,830 : x
2. Step 2: Convert to fraction form
   35,105/75,830 = 75,830/x
3. Step 3: Cross multiply
   35,105x = 75,830 × 75,830
4. Step 4: Simplify right side
   35,105x = 5,750,188,900
5. Step 5: Solve for x
   x = 5,750,188,900/35,105
6. Step 6: Final answer
   x = 163,799.71