Finding the Third Proportional to 6,814.13 and 10,656.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.13 : 10,656.56 = 10,656.56 : x
2. Step 2: Convert to fraction form
   6,814.13/10,656.56 = 10,656.56/x
3. Step 3: Cross multiply
   6,814.13x = 10,656.56 × 10,656.56
4. Step 4: Simplify right side
   6,814.13x = 113,562,324.32
5. Step 5: Solve for x
   x = 113,562,324.32/6,814.13
6. Step 6: Final answer
   x = 16,665.72