Finding the Third Proportional to 27,123 and 57,162

Step by Step Solution

1. Step 1: Write the proportion equation
   27,123 : 57,162 = 57,162 : x
2. Step 2: Convert to fraction form
   27,123/57,162 = 57,162/x
3. Step 3: Cross multiply
   27,123x = 57,162 × 57,162
4. Step 4: Simplify right side
   27,123x = 3,267,494,244
5. Step 5: Solve for x
   x = 3,267,494,244/27,123
6. Step 6: Final answer
   x = 120,469.50