Finding the Third Proportional to 27,853 and 57,064

Step by Step Solution

1. Step 1: Write the proportion equation
   27,853 : 57,064 = 57,064 : x
2. Step 2: Convert to fraction form
   27,853/57,064 = 57,064/x
3. Step 3: Cross multiply
   27,853x = 57,064 × 57,064
4. Step 4: Simplify right side
   27,853x = 3,256,300,096
5. Step 5: Solve for x
   x = 3,256,300,096/27,853
6. Step 6: Final answer
   x = 116,910.21