Finding the Third Proportional to 3,578.34 and 7,846.03

Step by Step Solution

1. Step 1: Write the proportion equation
   3,578.34 : 7,846.03 = 7,846.03 : x
2. Step 2: Convert to fraction form
   3,578.34/7,846.03 = 7,846.03/x
3. Step 3: Cross multiply
   3,578.34x = 7,846.03 × 7,846.03
4. Step 4: Simplify right side
   3,578.34x = 61,560,206.38
5. Step 5: Solve for x
   x = 61,560,206.38/3,578.34
6. Step 6: Final answer
   x = 17,203.55