Finding the Third Proportional to 11,872 and 19,456

Step by Step Solution

1. Step 1: Write the proportion equation
   11,872 : 19,456 = 19,456 : x
2. Step 2: Convert to fraction form
   11,872/19,456 = 19,456/x
3. Step 3: Cross multiply
   11,872x = 19,456 × 19,456
4. Step 4: Simplify right side
   11,872x = 378,535,936
5. Step 5: Solve for x
   x = 378,535,936/11,872
6. Step 6: Final answer
   x = 31,884.77