Finding the Third Proportional to 10,854 and 16,083.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,854 : 16,083.56 = 16,083.56 : x
2. Step 2: Convert to fraction form
   10,854/16,083.56 = 16,083.56/x
3. Step 3: Cross multiply
   10,854x = 16,083.56 × 16,083.56
4. Step 4: Simplify right side
   10,854x = 258,680,982.69
5. Step 5: Solve for x
   x = 258,680,982.69/10,854
6. Step 6: Final answer
   x = 23,832.78