Finding the Third Proportional to 36,228 and 76,386

Step by Step Solution

1. Step 1: Write the proportion equation
   36,228 : 76,386 = 76,386 : x
2. Step 2: Convert to fraction form
   36,228/76,386 = 76,386/x
3. Step 3: Cross multiply
   36,228x = 76,386 × 76,386
4. Step 4: Simplify right side
   36,228x = 5,834,820,996
5. Step 5: Solve for x
   x = 5,834,820,996/36,228
6. Step 6: Final answer
   x = 161,058.32