Finding the Third Proportional to 10,466 and 16,211

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466 : 16,211 = 16,211 : x
2. Step 2: Convert to fraction form
   10,466/16,211 = 16,211/x
3. Step 3: Cross multiply
   10,466x = 16,211 × 16,211
4. Step 4: Simplify right side
   10,466x = 262,796,521
5. Step 5: Solve for x
   x = 262,796,521/10,466
6. Step 6: Final answer
   x = 25,109.55