Finding the Third Proportional to 3,323.69 and 5,214.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,323.69 : 5,214.56 = 5,214.56 : x
2. Step 2: Convert to fraction form
   3,323.69/5,214.56 = 5,214.56/x
3. Step 3: Cross multiply
   3,323.69x = 5,214.56 × 5,214.56
4. Step 4: Simplify right side
   3,323.69x = 27,191,662.07
5. Step 5: Solve for x
   x = 27,191,662.07/3,323.69
6. Step 6: Final answer
   x = 8,181.17