Finding the Third Proportional to 10,168 and 16,235.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,168 : 16,235.25 = 16,235.25 : x
2. Step 2: Convert to fraction form
   10,168/16,235.25 = 16,235.25/x
3. Step 3: Cross multiply
   10,168x = 16,235.25 × 16,235.25
4. Step 4: Simplify right side
   10,168x = 263,583,342.56
5. Step 5: Solve for x
   x = 263,583,342.56/10,168
6. Step 6: Final answer
   x = 25,922.83