Finding the Third Proportional to 19,200 and 25,800

Step by Step Solution

1. Step 1: Write the proportion equation
   19,200 : 25,800 = 25,800 : x
2. Step 2: Convert to fraction form
   19,200/25,800 = 25,800/x
3. Step 3: Cross multiply
   19,200x = 25,800 × 25,800
4. Step 4: Simplify right side
   19,200x = 665,640,000
5. Step 5: Solve for x
   x = 665,640,000/19,200
6. Step 6: Final answer
   x = 34,668.75