Finding the Third Proportional to 5,192 and 10,852

Step by Step Solution

1. Step 1: Write the proportion equation
   5,192 : 10,852 = 10,852 : x
2. Step 2: Convert to fraction form
   5,192/10,852 = 10,852/x
3. Step 3: Cross multiply
   5,192x = 10,852 × 10,852
4. Step 4: Simplify right side
   5,192x = 117,765,904
5. Step 5: Solve for x
   x = 117,765,904/5,192
6. Step 6: Final answer
   x = 22,682.18