Finding the Third Proportional to 27,142 and 41,256

Step by Step Solution

1. Step 1: Write the proportion equation
   27,142 : 41,256 = 41,256 : x
2. Step 2: Convert to fraction form
   27,142/41,256 = 41,256/x
3. Step 3: Cross multiply
   27,142x = 41,256 × 41,256
4. Step 4: Simplify right side
   27,142x = 1,702,057,536
5. Step 5: Solve for x
   x = 1,702,057,536/27,142
6. Step 6: Final answer
   x = 62,709.36