Finding the Third Proportional to 11,780 and 19,142

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 19,142 = 19,142 : x
2. Step 2: Convert to fraction form
   11,780/19,142 = 19,142/x
3. Step 3: Cross multiply
   11,780x = 19,142 × 19,142
4. Step 4: Simplify right side
   11,780x = 366,416,164
5. Step 5: Solve for x
   x = 366,416,164/11,780
6. Step 6: Final answer
   x = 31,104.94