Finding the Third Proportional to 35,142 and 76,162

Step by Step Solution

1. Step 1: Write the proportion equation
   35,142 : 76,162 = 76,162 : x
2. Step 2: Convert to fraction form
   35,142/76,162 = 76,162/x
3. Step 3: Cross multiply
   35,142x = 76,162 × 76,162
4. Step 4: Simplify right side
   35,142x = 5,800,650,244
5. Step 5: Solve for x
   x = 5,800,650,244/35,142
6. Step 6: Final answer
   x = 165,063.18