Finding the Third Proportional to 6,564 and 11,150

Step by Step Solution

1. Step 1: Write the proportion equation
   6,564 : 11,150 = 11,150 : x
2. Step 2: Convert to fraction form
   6,564/11,150 = 11,150/x
3. Step 3: Cross multiply
   6,564x = 11,150 × 11,150
4. Step 4: Simplify right side
   6,564x = 124,322,500
5. Step 5: Solve for x
   x = 124,322,500/6,564
6. Step 6: Final answer
   x = 18,940.05