Finding the Third Proportional to 27,231 and 57,822

Step by Step Solution

1. Step 1: Write the proportion equation
   27,231 : 57,822 = 57,822 : x
2. Step 2: Convert to fraction form
   27,231/57,822 = 57,822/x
3. Step 3: Cross multiply
   27,231x = 57,822 × 57,822
4. Step 4: Simplify right side
   27,231x = 3,343,383,684
5. Step 5: Solve for x
   x = 3,343,383,684/27,231
6. Step 6: Final answer
   x = 122,778.59