Finding the Third Proportional to 6,822.56 and 10,207.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,822.56 : 10,207.69 = 10,207.69 : x
2. Step 2: Convert to fraction form
   6,822.56/10,207.69 = 10,207.69/x
3. Step 3: Cross multiply
   6,822.56x = 10,207.69 × 10,207.69
4. Step 4: Simplify right side
   6,822.56x = 104,196,884.10
5. Step 5: Solve for x
   x = 104,196,884.10/6,822.56
6. Step 6: Final answer
   x = 15,272.40