Finding the Third Proportional to 10,296 and 13,878

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 13,878 = 13,878 : x
2. Step 2: Convert to fraction form
   10,296/13,878 = 13,878/x
3. Step 3: Cross multiply
   10,296x = 13,878 × 13,878
4. Step 4: Simplify right side
   10,296x = 192,598,884
5. Step 5: Solve for x
   x = 192,598,884/10,296
6. Step 6: Final answer
   x = 18,706.19