Finding the Third Proportional to 27,180 and 41,790

Step by Step Solution

1. Step 1: Write the proportion equation
   27,180 : 41,790 = 41,790 : x
2. Step 2: Convert to fraction form
   27,180/41,790 = 41,790/x
3. Step 3: Cross multiply
   27,180x = 41,790 × 41,790
4. Step 4: Simplify right side
   27,180x = 1,746,404,100
5. Step 5: Solve for x
   x = 1,746,404,100/27,180
6. Step 6: Final answer
   x = 64,253.28