Finding the Third Proportional to 25,200 and 33,744

Step by Step Solution

1. Step 1: Write the proportion equation
   25,200 : 33,744 = 33,744 : x
2. Step 2: Convert to fraction form
   25,200/33,744 = 33,744/x
3. Step 3: Cross multiply
   25,200x = 33,744 × 33,744
4. Step 4: Simplify right side
   25,200x = 1,138,657,536
5. Step 5: Solve for x
   x = 1,138,657,536/25,200
6. Step 6: Final answer
   x = 45,184.82