Finding the Third Proportional to 17,534 and 25,686

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534 : 25,686 = 25,686 : x
2. Step 2: Convert to fraction form
   17,534/25,686 = 25,686/x
3. Step 3: Cross multiply
   17,534x = 25,686 × 25,686
4. Step 4: Simplify right side
   17,534x = 659,770,596
5. Step 5: Solve for x
   x = 659,770,596/17,534
6. Step 6: Final answer
   x = 37,628.07