Finding the Third Proportional to 6,823.69 and 14,916.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823.69 : 14,916.38 = 14,916.38 : x
2. Step 2: Convert to fraction form
   6,823.69/14,916.38 = 14,916.38/x
3. Step 3: Cross multiply
   6,823.69x = 14,916.38 × 14,916.38
4. Step 4: Simplify right side
   6,823.69x = 222,498,243.14
5. Step 5: Solve for x
   x = 222,498,243.14/6,823.69
6. Step 6: Final answer
   x = 32,606.75