Finding the Third Proportional to 27,826 and 57,494

Step by Step Solution

1. Step 1: Write the proportion equation
   27,826 : 57,494 = 57,494 : x
2. Step 2: Convert to fraction form
   27,826/57,494 = 57,494/x
3. Step 3: Cross multiply
   27,826x = 57,494 × 57,494
4. Step 4: Simplify right side
   27,826x = 3,305,560,036
5. Step 5: Solve for x
   x = 3,305,560,036/27,826
6. Step 6: Final answer
   x = 118,793.94