Finding the Third Proportional to 27,270 and 57,456

Step by Step Solution

1. Step 1: Write the proportion equation
   27,270 : 57,456 = 57,456 : x
2. Step 2: Convert to fraction form
   27,270/57,456 = 57,456/x
3. Step 3: Cross multiply
   27,270x = 57,456 × 57,456
4. Step 4: Simplify right side
   27,270x = 3,301,191,936
5. Step 5: Solve for x
   x = 3,301,191,936/27,270
6. Step 6: Final answer
   x = 121,055.81