Finding the Third Proportional to 10,438.63 and 18,397.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438.63 : 18,397.38 = 18,397.38 : x
2. Step 2: Convert to fraction form
   10,438.63/18,397.38 = 18,397.38/x
3. Step 3: Cross multiply
   10,438.63x = 18,397.38 × 18,397.38
4. Step 4: Simplify right side
   10,438.63x = 338,463,406.89
5. Step 5: Solve for x
   x = 338,463,406.89/10,438.63
6. Step 6: Final answer
   x = 32,424.14