Finding the Third Proportional to 27,214 and 55,892

Step by Step Solution

1. Step 1: Write the proportion equation
   27,214 : 55,892 = 55,892 : x
2. Step 2: Convert to fraction form
   27,214/55,892 = 55,892/x
3. Step 3: Cross multiply
   27,214x = 55,892 × 55,892
4. Step 4: Simplify right side
   27,214x = 3,123,915,664
5. Step 5: Solve for x
   x = 3,123,915,664/27,214
6. Step 6: Final answer
   x = 114,790.76