Finding the Third Proportional to 8,464 and 10,192

Step by Step Solution

1. Step 1: Write the proportion equation
   8,464 : 10,192 = 10,192 : x
2. Step 2: Convert to fraction form
   8,464/10,192 = 10,192/x
3. Step 3: Cross multiply
   8,464x = 10,192 × 10,192
4. Step 4: Simplify right side
   8,464x = 103,876,864
5. Step 5: Solve for x
   x = 103,876,864/8,464
6. Step 6: Final answer
   x = 12,272.79