Finding the Third Proportional to 11,920 and 19,200

Step by Step Solution

1. Step 1: Write the proportion equation
   11,920 : 19,200 = 19,200 : x
2. Step 2: Convert to fraction form
   11,920/19,200 = 19,200/x
3. Step 3: Cross multiply
   11,920x = 19,200 × 19,200
4. Step 4: Simplify right side
   11,920x = 368,640,000
5. Step 5: Solve for x
   x = 368,640,000/11,920
6. Step 6: Final answer
   x = 30,926.17