Finding the Third Proportional to 10,614.38 and 19,704.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614.38 : 19,704.38 = 19,704.38 : x
2. Step 2: Convert to fraction form
   10,614.38/19,704.38 = 19,704.38/x
3. Step 3: Cross multiply
   10,614.38x = 19,704.38 × 19,704.38
4. Step 4: Simplify right side
   10,614.38x = 388,262,394.14
5. Step 5: Solve for x
   x = 388,262,394.14/10,614.38
6. Step 6: Final answer
   x = 36,578.92