Finding the Third Proportional to 6,333 and 10,173

Step by Step Solution

1. Step 1: Write the proportion equation
   6,333 : 10,173 = 10,173 : x
2. Step 2: Convert to fraction form
   6,333/10,173 = 10,173/x
3. Step 3: Cross multiply
   6,333x = 10,173 × 10,173
4. Step 4: Simplify right side
   6,333x = 103,489,929
5. Step 5: Solve for x
   x = 103,489,929/6,333
6. Step 6: Final answer
   x = 16,341.38