Finding the Third Proportional to 1,513.69 and 3,243.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.69 : 3,243.09 = 3,243.09 : x
2. Step 2: Convert to fraction form
   1,513.69/3,243.09 = 3,243.09/x
3. Step 3: Cross multiply
   1,513.69x = 3,243.09 × 3,243.09
4. Step 4: Simplify right side
   1,513.69x = 10,517,657.07
5. Step 5: Solve for x
   x = 10,517,657.07/1,513.69
6. Step 6: Final answer
   x = 6,948.37