Finding the Third Proportional to 36,828 and 57,186

Step by Step Solution

1. Step 1: Write the proportion equation
   36,828 : 57,186 = 57,186 : x
2. Step 2: Convert to fraction form
   36,828/57,186 = 57,186/x
3. Step 3: Cross multiply
   36,828x = 57,186 × 57,186
4. Step 4: Simplify right side
   36,828x = 3,270,238,596
5. Step 5: Solve for x
   x = 3,270,238,596/36,828
6. Step 6: Final answer
   x = 88,797.62