Finding the Third Proportional to 27,188 and 55,144

Step by Step Solution

1. Step 1: Write the proportion equation
   27,188 : 55,144 = 55,144 : x
2. Step 2: Convert to fraction form
   27,188/55,144 = 55,144/x
3. Step 3: Cross multiply
   27,188x = 55,144 × 55,144
4. Step 4: Simplify right side
   27,188x = 3,040,860,736
5. Step 5: Solve for x
   x = 3,040,860,736/27,188
6. Step 6: Final answer
   x = 111,845.69