Finding the Third Proportional to 25,980 and 41,838

Step by Step Solution

1. Step 1: Write the proportion equation
   25,980 : 41,838 = 41,838 : x
2. Step 2: Convert to fraction form
   25,980/41,838 = 41,838/x
3. Step 3: Cross multiply
   25,980x = 41,838 × 41,838
4. Step 4: Simplify right side
   25,980x = 1,750,418,244
5. Step 5: Solve for x
   x = 1,750,418,244/25,980
6. Step 6: Final answer
   x = 67,375.61