Finding the Third Proportional to 25,978 and 37,021

Step by Step Solution

1. Step 1: Write the proportion equation
   25,978 : 37,021 = 37,021 : x
2. Step 2: Convert to fraction form
   25,978/37,021 = 37,021/x
3. Step 3: Cross multiply
   25,978x = 37,021 × 37,021
4. Step 4: Simplify right side
   25,978x = 1,370,554,441
5. Step 5: Solve for x
   x = 1,370,554,441/25,978
6. Step 6: Final answer
   x = 52,758.27