Finding the Third Proportional to 11,940 and 19,504

Step by Step Solution

1. Step 1: Write the proportion equation
   11,940 : 19,504 = 19,504 : x
2. Step 2: Convert to fraction form
   11,940/19,504 = 19,504/x
3. Step 3: Cross multiply
   11,940x = 19,504 × 19,504
4. Step 4: Simplify right side
   11,940x = 380,406,016
5. Step 5: Solve for x
   x = 380,406,016/11,940
6. Step 6: Final answer
   x = 31,859.80