Finding the Third Proportional to 27,186 and 57,648

Step by Step Solution

1. Step 1: Write the proportion equation
   27,186 : 57,648 = 57,648 : x
2. Step 2: Convert to fraction form
   27,186/57,648 = 57,648/x
3. Step 3: Cross multiply
   27,186x = 57,648 × 57,648
4. Step 4: Simplify right side
   27,186x = 3,323,291,904
5. Step 5: Solve for x
   x = 3,323,291,904/27,186
6. Step 6: Final answer
   x = 122,242.77