Finding the Third Proportional to 3,214.69 and 4,968.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,214.69 : 4,968.56 = 4,968.56 : x
2. Step 2: Convert to fraction form
   3,214.69/4,968.56 = 4,968.56/x
3. Step 3: Cross multiply
   3,214.69x = 4,968.56 × 4,968.56
4. Step 4: Simplify right side
   3,214.69x = 24,686,613.32
5. Step 5: Solve for x
   x = 24,686,613.32/3,214.69
6. Step 6: Final answer
   x = 7,679.32