Finding the Third Proportional to 10,878 and 16,505

Step by Step Solution

1. Step 1: Write the proportion equation
   10,878 : 16,505 = 16,505 : x
2. Step 2: Convert to fraction form
   10,878/16,505 = 16,505/x
3. Step 3: Cross multiply
   10,878x = 16,505 × 16,505
4. Step 4: Simplify right side
   10,878x = 272,415,025
5. Step 5: Solve for x
   x = 272,415,025/10,878
6. Step 6: Final answer
   x = 25,042.75