Finding the Third Proportional to 1,827.56 and 4,404.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827.56 : 4,404.38 = 4,404.38 : x
2. Step 2: Convert to fraction form
   1,827.56/4,404.38 = 4,404.38/x
3. Step 3: Cross multiply
   1,827.56x = 4,404.38 × 4,404.38
4. Step 4: Simplify right side
   1,827.56x = 19,398,519.14
5. Step 5: Solve for x
   x = 19,398,519.14/1,827.56
6. Step 6: Final answer
   x = 10,614.42