Finding the Third Proportional to 6,814.69 and 14,673.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.69 : 14,673.38 = 14,673.38 : x
2. Step 2: Convert to fraction form
   6,814.69/14,673.38 = 14,673.38/x
3. Step 3: Cross multiply
   6,814.69x = 14,673.38 × 14,673.38
4. Step 4: Simplify right side
   6,814.69x = 215,307,933.89
5. Step 5: Solve for x
   x = 215,307,933.89/6,814.69
6. Step 6: Final answer
   x = 31,594.69