Finding the Third Proportional to 10,144 and 16,296

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144 : 16,296 = 16,296 : x
2. Step 2: Convert to fraction form
   10,144/16,296 = 16,296/x
3. Step 3: Cross multiply
   10,144x = 16,296 × 16,296
4. Step 4: Simplify right side
   10,144x = 265,559,616
5. Step 5: Solve for x
   x = 265,559,616/10,144
6. Step 6: Final answer
   x = 26,178.98