Finding the Third Proportional to 11,785.50 and 19,443.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,785.50 : 19,443.38 = 19,443.38 : x
2. Step 2: Convert to fraction form
   11,785.50/19,443.38 = 19,443.38/x
3. Step 3: Cross multiply
   11,785.50x = 19,443.38 × 19,443.38
4. Step 4: Simplify right side
   11,785.50x = 378,044,831.39
5. Step 5: Solve for x
   x = 378,044,831.39/11,785.50
6. Step 6: Final answer
   x = 32,077.11