Finding the Third Proportional to 25,975 and 41,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,975 : 41,831.50 = 41,831.50 : x
2. Step 2: Convert to fraction form
   25,975/41,831.50 = 41,831.50/x
3. Step 3: Cross multiply
   25,975x = 41,831.50 × 41,831.50
4. Step 4: Simplify right side
   25,975x = 1,749,874,392.25
5. Step 5: Solve for x
   x = 1,749,874,392.25/25,975
6. Step 6: Final answer
   x = 67,367.64