Finding the Third Proportional to 11,205 and 12,852

Step by Step Solution

1. Step 1: Write the proportion equation
   11,205 : 12,852 = 12,852 : x
2. Step 2: Convert to fraction form
   11,205/12,852 = 12,852/x
3. Step 3: Cross multiply
   11,205x = 12,852 × 12,852
4. Step 4: Simplify right side
   11,205x = 165,173,904
5. Step 5: Solve for x
   x = 165,173,904/11,205
6. Step 6: Final answer
   x = 14,741.09