Finding the Third Proportional to 41,760 and 57,264

Step by Step Solution

1. Step 1: Write the proportion equation
   41,760 : 57,264 = 57,264 : x
2. Step 2: Convert to fraction form
   41,760/57,264 = 57,264/x
3. Step 3: Cross multiply
   41,760x = 57,264 × 57,264
4. Step 4: Simplify right side
   41,760x = 3,279,165,696
5. Step 5: Solve for x
   x = 3,279,165,696/41,760
6. Step 6: Final answer
   x = 78,524.08