Finding the Third Proportional to 11,976 and 19,140

Step by Step Solution

1. Step 1: Write the proportion equation
   11,976 : 19,140 = 19,140 : x
2. Step 2: Convert to fraction form
   11,976/19,140 = 19,140/x
3. Step 3: Cross multiply
   11,976x = 19,140 × 19,140
4. Step 4: Simplify right side
   11,976x = 366,339,600
5. Step 5: Solve for x
   x = 366,339,600/11,976
6. Step 6: Final answer
   x = 30,589.48