Finding the Third Proportional to 8,200 and 11,003

Step by Step Solution

1. Step 1: Write the proportion equation
   8,200 : 11,003 = 11,003 : x
2. Step 2: Convert to fraction form
   8,200/11,003 = 11,003/x
3. Step 3: Cross multiply
   8,200x = 11,003 × 11,003
4. Step 4: Simplify right side
   8,200x = 121,066,009
5. Step 5: Solve for x
   x = 121,066,009/8,200
6. Step 6: Final answer
   x = 14,764.15