Finding the Third Proportional to 27,720 and 59,256

Step by Step Solution

1. Step 1: Write the proportion equation
   27,720 : 59,256 = 59,256 : x
2. Step 2: Convert to fraction form
   27,720/59,256 = 59,256/x
3. Step 3: Cross multiply
   27,720x = 59,256 × 59,256
4. Step 4: Simplify right side
   27,720x = 3,511,273,536
5. Step 5: Solve for x
   x = 3,511,273,536/27,720
6. Step 6: Final answer
   x = 126,669.32