Finding the Third Proportional to 3,636.38 and 5,596.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,636.38 : 5,596.31 = 5,596.31 : x
2. Step 2: Convert to fraction form
   3,636.38/5,596.31 = 5,596.31/x
3. Step 3: Cross multiply
   3,636.38x = 5,596.31 × 5,596.31
4. Step 4: Simplify right side
   3,636.38x = 31,318,713.60
5. Step 5: Solve for x
   x = 31,318,713.60/3,636.38
6. Step 6: Final answer
   x = 8,612.62