Finding the Third Proportional to 10,264 and 13,208

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264 : 13,208 = 13,208 : x
2. Step 2: Convert to fraction form
   10,264/13,208 = 13,208/x
3. Step 3: Cross multiply
   10,264x = 13,208 × 13,208
4. Step 4: Simplify right side
   10,264x = 174,451,264
5. Step 5: Solve for x
   x = 174,451,264/10,264
6. Step 6: Final answer
   x = 16,996.42