Finding the Third Proportional to 17,675 and 25,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,675 : 25,982.50 = 25,982.50 : x
2. Step 2: Convert to fraction form
   17,675/25,982.50 = 25,982.50/x
3. Step 3: Cross multiply
   17,675x = 25,982.50 × 25,982.50
4. Step 4: Simplify right side
   17,675x = 675,090,306.25
5. Step 5: Solve for x
   x = 675,090,306.25/17,675
6. Step 6: Final answer
   x = 38,194.64