Finding the Third Proportional to 35,020 and 76,843

Step by Step Solution

1. Step 1: Write the proportion equation
   35,020 : 76,843 = 76,843 : x
2. Step 2: Convert to fraction form
   35,020/76,843 = 76,843/x
3. Step 3: Cross multiply
   35,020x = 76,843 × 76,843
4. Step 4: Simplify right side
   35,020x = 5,904,846,649
5. Step 5: Solve for x
   x = 5,904,846,649/35,020
6. Step 6: Final answer
   x = 168,613.55