Finding the Third Proportional to 10,648 and 16,196

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648 : 16,196 = 16,196 : x
2. Step 2: Convert to fraction form
   10,648/16,196 = 16,196/x
3. Step 3: Cross multiply
   10,648x = 16,196 × 16,196
4. Step 4: Simplify right side
   10,648x = 262,310,416
5. Step 5: Solve for x
   x = 262,310,416/10,648
6. Step 6: Final answer
   x = 24,634.71