Finding the Third Proportional to 10,896 and 23,869

Step by Step Solution

1. Step 1: Write the proportion equation
   10,896 : 23,869 = 23,869 : x
2. Step 2: Convert to fraction form
   10,896/23,869 = 23,869/x
3. Step 3: Cross multiply
   10,896x = 23,869 × 23,869
4. Step 4: Simplify right side
   10,896x = 569,729,161
5. Step 5: Solve for x
   x = 569,729,161/10,896
6. Step 6: Final answer
   x = 52,287.92