Finding the Third Proportional to 27,165 and 41,760

Step by Step Solution

1. Step 1: Write the proportion equation
   27,165 : 41,760 = 41,760 : x
2. Step 2: Convert to fraction form
   27,165/41,760 = 41,760/x
3. Step 3: Cross multiply
   27,165x = 41,760 × 41,760
4. Step 4: Simplify right side
   27,165x = 1,743,897,600
5. Step 5: Solve for x
   x = 1,743,897,600/27,165
6. Step 6: Final answer
   x = 64,196.49