Finding the Third Proportional to 10,878 and 16,544.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,878 : 16,544.25 = 16,544.25 : x
2. Step 2: Convert to fraction form
   10,878/16,544.25 = 16,544.25/x
3. Step 3: Cross multiply
   10,878x = 16,544.25 × 16,544.25
4. Step 4: Simplify right side
   10,878x = 273,712,208.06
5. Step 5: Solve for x
   x = 273,712,208.06/10,878
6. Step 6: Final answer
   x = 25,162.00