Finding the Third Proportional to 15,278 and 35,694

Step by Step Solution

1. Step 1: Write the proportion equation
   15,278 : 35,694 = 35,694 : x
2. Step 2: Convert to fraction form
   15,278/35,694 = 35,694/x
3. Step 3: Cross multiply
   15,278x = 35,694 × 35,694
4. Step 4: Simplify right side
   15,278x = 1,274,061,636
5. Step 5: Solve for x
   x = 1,274,061,636/15,278
6. Step 6: Final answer
   x = 83,391.91