Finding the Third Proportional to 5,192 and 10,864

Step by Step Solution

1. Step 1: Write the proportion equation
   5,192 : 10,864 = 10,864 : x
2. Step 2: Convert to fraction form
   5,192/10,864 = 10,864/x
3. Step 3: Cross multiply
   5,192x = 10,864 × 10,864
4. Step 4: Simplify right side
   5,192x = 118,026,496
5. Step 5: Solve for x
   x = 118,026,496/5,192
6. Step 6: Final answer
   x = 22,732.38