Finding the Third Proportional to 3,178.69 and 4,528.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,178.69 : 4,528.69 = 4,528.69 : x
2. Step 2: Convert to fraction form
   3,178.69/4,528.69 = 4,528.69/x
3. Step 3: Cross multiply
   3,178.69x = 4,528.69 × 4,528.69
4. Step 4: Simplify right side
   3,178.69x = 20,509,010.47
5. Step 5: Solve for x
   x = 20,509,010.47/3,178.69
6. Step 6: Final answer
   x = 6,452.04