Finding the Third Proportional to 36,780 and 58,267

Step by Step Solution

1. Step 1: Write the proportion equation
   36,780 : 58,267 = 58,267 : x
2. Step 2: Convert to fraction form
   36,780/58,267 = 58,267/x
3. Step 3: Cross multiply
   36,780x = 58,267 × 58,267
4. Step 4: Simplify right side
   36,780x = 3,395,043,289
5. Step 5: Solve for x
   x = 3,395,043,289/36,780
6. Step 6: Final answer
   x = 92,306.78