Finding the Third Proportional to 25,920 and 35,694

Step by Step Solution

1. Step 1: Write the proportion equation
   25,920 : 35,694 = 35,694 : x
2. Step 2: Convert to fraction form
   25,920/35,694 = 35,694/x
3. Step 3: Cross multiply
   25,920x = 35,694 × 35,694
4. Step 4: Simplify right side
   25,920x = 1,274,061,636
5. Step 5: Solve for x
   x = 1,274,061,636/25,920
6. Step 6: Final answer
   x = 49,153.61