Finding the Third Proportional to 36,728 and 58,384

Step by Step Solution

1. Step 1: Write the proportion equation
   36,728 : 58,384 = 58,384 : x
2. Step 2: Convert to fraction form
   36,728/58,384 = 58,384/x
3. Step 3: Cross multiply
   36,728x = 58,384 × 58,384
4. Step 4: Simplify right side
   36,728x = 3,408,691,456
5. Step 5: Solve for x
   x = 3,408,691,456/36,728
6. Step 6: Final answer
   x = 92,809.07