Finding the Third Proportional to 25,978 and 41,836

Step by Step Solution

1. Step 1: Write the proportion equation
   25,978 : 41,836 = 41,836 : x
2. Step 2: Convert to fraction form
   25,978/41,836 = 41,836/x
3. Step 3: Cross multiply
   25,978x = 41,836 × 41,836
4. Step 4: Simplify right side
   25,978x = 1,750,250,896
5. Step 5: Solve for x
   x = 1,750,250,896/25,978
6. Step 6: Final answer
   x = 67,374.35