Finding the Third Proportional to 35,757 and 76,262

Step by Step Solution

1. Step 1: Write the proportion equation
   35,757 : 76,262 = 76,262 : x
2. Step 2: Convert to fraction form
   35,757/76,262 = 76,262/x
3. Step 3: Cross multiply
   35,757x = 76,262 × 76,262
4. Step 4: Simplify right side
   35,757x = 5,815,892,644
5. Step 5: Solve for x
   x = 5,815,892,644/35,757
6. Step 6: Final answer
   x = 162,650.46