Finding the Third Proportional to 6,406 and 10,277

Step by Step Solution

1. Step 1: Write the proportion equation
   6,406 : 10,277 = 10,277 : x
2. Step 2: Convert to fraction form
   6,406/10,277 = 10,277/x
3. Step 3: Cross multiply
   6,406x = 10,277 × 10,277
4. Step 4: Simplify right side
   6,406x = 105,616,729
5. Step 5: Solve for x
   x = 105,616,729/6,406
6. Step 6: Final answer
   x = 16,487.16