Finding the Third Proportional to 3,496.50 and 5,506.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,496.50 : 5,506.31 = 5,506.31 : x
2. Step 2: Convert to fraction form
   3,496.50/5,506.31 = 5,506.31/x
3. Step 3: Cross multiply
   3,496.50x = 5,506.31 × 5,506.31
4. Step 4: Simplify right side
   3,496.50x = 30,319,477.35
5. Step 5: Solve for x
   x = 30,319,477.35/3,496.50
6. Step 6: Final answer
   x = 8,671.38