Finding the Third Proportional to 5,583.50 and 8,369.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,583.50 : 8,369.25 = 8,369.25 : x
2. Step 2: Convert to fraction form
   5,583.50/8,369.25 = 8,369.25/x
3. Step 3: Cross multiply
   5,583.50x = 8,369.25 × 8,369.25
4. Step 4: Simplify right side
   5,583.50x = 70,044,345.56
5. Step 5: Solve for x
   x = 70,044,345.56/5,583.50
6. Step 6: Final answer
   x = 12,544.88