Finding the Third Proportional to 10,886 and 24,204

Step by Step Solution

1. Step 1: Write the proportion equation
   10,886 : 24,204 = 24,204 : x
2. Step 2: Convert to fraction form
   10,886/24,204 = 24,204/x
3. Step 3: Cross multiply
   10,886x = 24,204 × 24,204
4. Step 4: Simplify right side
   10,886x = 585,833,616
5. Step 5: Solve for x
   x = 585,833,616/10,886
6. Step 6: Final answer
   x = 53,815.32