Finding the Third Proportional to 17,498 and 25,671

Step by Step Solution

1. Step 1: Write the proportion equation
   17,498 : 25,671 = 25,671 : x
2. Step 2: Convert to fraction form
   17,498/25,671 = 25,671/x
3. Step 3: Cross multiply
   17,498x = 25,671 × 25,671
4. Step 4: Simplify right side
   17,498x = 659,000,241
5. Step 5: Solve for x
   x = 659,000,241/17,498
6. Step 6: Final answer
   x = 37,661.46