Finding the Third Proportional to 41,766 and 57,273

Step by Step Solution

1. Step 1: Write the proportion equation
   41,766 : 57,273 = 57,273 : x
2. Step 2: Convert to fraction form
   41,766/57,273 = 57,273/x
3. Step 3: Cross multiply
   41,766x = 57,273 × 57,273
4. Step 4: Simplify right side
   41,766x = 3,280,196,529
5. Step 5: Solve for x
   x = 3,280,196,529/41,766
6. Step 6: Final answer
   x = 78,537.48