Finding the Third Proportional to 10,448 and 16,196

Step by Step Solution

1. Step 1: Write the proportion equation
   10,448 : 16,196 = 16,196 : x
2. Step 2: Convert to fraction form
   10,448/16,196 = 16,196/x
3. Step 3: Cross multiply
   10,448x = 16,196 × 16,196
4. Step 4: Simplify right side
   10,448x = 262,310,416
5. Step 5: Solve for x
   x = 262,310,416/10,448
6. Step 6: Final answer
   x = 25,106.28