Finding the Third Proportional to 25,976 and 37,018

Step by Step Solution

1. Step 1: Write the proportion equation
   25,976 : 37,018 = 37,018 : x
2. Step 2: Convert to fraction form
   25,976/37,018 = 37,018/x
3. Step 3: Cross multiply
   25,976x = 37,018 × 37,018
4. Step 4: Simplify right side
   25,976x = 1,370,332,324
5. Step 5: Solve for x
   x = 1,370,332,324/25,976
6. Step 6: Final answer
   x = 52,753.79