Finding the Third Proportional to 35,018 and 76,838

Step by Step Solution

1. Step 1: Write the proportion equation
   35,018 : 76,838 = 76,838 : x
2. Step 2: Convert to fraction form
   35,018/76,838 = 76,838/x
3. Step 3: Cross multiply
   35,018x = 76,838 × 76,838
4. Step 4: Simplify right side
   35,018x = 5,904,078,244
5. Step 5: Solve for x
   x = 5,904,078,244/35,018
6. Step 6: Final answer
   x = 168,601.24