Finding the Third Proportional to 35,256 and 76,872

Step by Step Solution

1. Step 1: Write the proportion equation
   35,256 : 76,872 = 76,872 : x
2. Step 2: Convert to fraction form
   35,256/76,872 = 76,872/x
3. Step 3: Cross multiply
   35,256x = 76,872 × 76,872
4. Step 4: Simplify right side
   35,256x = 5,909,304,384
5. Step 5: Solve for x
   x = 5,909,304,384/35,256
6. Step 6: Final answer
   x = 167,611.31