Finding the Third Proportional to 27,714 and 57,062

Step by Step Solution

1. Step 1: Write the proportion equation
   27,714 : 57,062 = 57,062 : x
2. Step 2: Convert to fraction form
   27,714/57,062 = 57,062/x
3. Step 3: Cross multiply
   27,714x = 57,062 × 57,062
4. Step 4: Simplify right side
   27,714x = 3,256,071,844
5. Step 5: Solve for x
   x = 3,256,071,844/27,714
6. Step 6: Final answer
   x = 117,488.34