Finding the Third Proportional to 5,506.73 and 8,389.41

Step by Step Solution

1. Step 1: Write the proportion equation
   5,506.73 : 8,389.41 = 8,389.41 : x
2. Step 2: Convert to fraction form
   5,506.73/8,389.41 = 8,389.41/x
3. Step 3: Cross multiply
   5,506.73x = 8,389.41 × 8,389.41
4. Step 4: Simplify right side
   5,506.73x = 70,382,137.23
5. Step 5: Solve for x
   x = 70,382,137.23/5,506.73
6. Step 6: Final answer
   x = 12,781.10