Finding the Third Proportional to 2,596.50 and 5,574.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.50 : 5,574.38 = 5,574.38 : x
2. Step 2: Convert to fraction form
   2,596.50/5,574.38 = 5,574.38/x
3. Step 3: Cross multiply
   2,596.50x = 5,574.38 × 5,574.38
4. Step 4: Simplify right side
   2,596.50x = 31,073,656.64
5. Step 5: Solve for x
   x = 31,073,656.64/2,596.50
6. Step 6: Final answer
   x = 11,967.52