Finding the Third Proportional to 36,262 and 76,812

Step by Step Solution

1. Step 1: Write the proportion equation
   36,262 : 76,812 = 76,812 : x
2. Step 2: Convert to fraction form
   36,262/76,812 = 76,812/x
3. Step 3: Cross multiply
   36,262x = 76,812 × 76,812
4. Step 4: Simplify right side
   36,262x = 5,900,083,344
5. Step 5: Solve for x
   x = 5,900,083,344/36,262
6. Step 6: Final answer
   x = 162,707.06