Finding the Third Proportional to 6,750 and 10,565

Step by Step Solution

1. Step 1: Write the proportion equation
   6,750 : 10,565 = 10,565 : x
2. Step 2: Convert to fraction form
   6,750/10,565 = 10,565/x
3. Step 3: Cross multiply
   6,750x = 10,565 × 10,565
4. Step 4: Simplify right side
   6,750x = 111,619,225
5. Step 5: Solve for x
   x = 111,619,225/6,750
6. Step 6: Final answer
   x = 16,536.18