Finding the Third Proportional to 2,523.66 and 5,424.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.66 : 5,424.47 = 5,424.47 : x
2. Step 2: Convert to fraction form
   2,523.66/5,424.47 = 5,424.47/x
3. Step 3: Cross multiply
   2,523.66x = 5,424.47 × 5,424.47
4. Step 4: Simplify right side
   2,523.66x = 29,424,861.22
5. Step 5: Solve for x
   x = 29,424,861.22/2,523.66
6. Step 6: Final answer
   x = 11,659.62