Finding the Third Proportional to 25,869 and 52,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,869 : 52,831.50 = 52,831.50 : x
2. Step 2: Convert to fraction form
   25,869/52,831.50 = 52,831.50/x
3. Step 3: Cross multiply
   25,869x = 52,831.50 × 52,831.50
4. Step 4: Simplify right side
   25,869x = 2,791,167,392.25
5. Step 5: Solve for x
   x = 2,791,167,392.25/25,869
6. Step 6: Final answer
   x = 107,896.22