Finding the Third Proportional to 27,837 and 57,042

Step by Step Solution

1. Step 1: Write the proportion equation
   27,837 : 57,042 = 57,042 : x
2. Step 2: Convert to fraction form
   27,837/57,042 = 57,042/x
3. Step 3: Cross multiply
   27,837x = 57,042 × 57,042
4. Step 4: Simplify right side
   27,837x = 3,253,789,764
5. Step 5: Solve for x
   x = 3,253,789,764/27,837
6. Step 6: Final answer
   x = 116,887.23