Finding the Third Proportional to 11,968 and 19,488

Step by Step Solution

1. Step 1: Write the proportion equation
   11,968 : 19,488 = 19,488 : x
2. Step 2: Convert to fraction form
   11,968/19,488 = 19,488/x
3. Step 3: Cross multiply
   11,968x = 19,488 × 19,488
4. Step 4: Simplify right side
   11,968x = 379,782,144
5. Step 5: Solve for x
   x = 379,782,144/11,968
6. Step 6: Final answer
   x = 31,733.13