Finding the Third Proportional to 25,533 and 35,748

Step by Step Solution

1. Step 1: Write the proportion equation
   25,533 : 35,748 = 35,748 : x
2. Step 2: Convert to fraction form
   25,533/35,748 = 35,748/x
3. Step 3: Cross multiply
   25,533x = 35,748 × 35,748
4. Step 4: Simplify right side
   25,533x = 1,277,919,504
5. Step 5: Solve for x
   x = 1,277,919,504/25,533
6. Step 6: Final answer
   x = 50,049.72