Finding the Third Proportional to 3,970.69 and 5,578.03

Step by Step Solution

1. Step 1: Write the proportion equation
   3,970.69 : 5,578.03 = 5,578.03 : x
2. Step 2: Convert to fraction form
   3,970.69/5,578.03 = 5,578.03/x
3. Step 3: Cross multiply
   3,970.69x = 5,578.03 × 5,578.03
4. Step 4: Simplify right side
   3,970.69x = 31,114,432.63
5. Step 5: Solve for x
   x = 31,114,432.63/3,970.69
6. Step 6: Final answer
   x = 7,836.03