Finding the Third Proportional to 10,196 and 16,222

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196 : 16,222 = 16,222 : x
2. Step 2: Convert to fraction form
   10,196/16,222 = 16,222/x
3. Step 3: Cross multiply
   10,196x = 16,222 × 16,222
4. Step 4: Simplify right side
   10,196x = 263,153,284
5. Step 5: Solve for x
   x = 263,153,284/10,196
6. Step 6: Final answer
   x = 25,809.46