Finding the Third Proportional to 17,505 and 25,982

Step by Step Solution

1. Step 1: Write the proportion equation
   17,505 : 25,982 = 25,982 : x
2. Step 2: Convert to fraction form
   17,505/25,982 = 25,982/x
3. Step 3: Cross multiply
   17,505x = 25,982 × 25,982
4. Step 4: Simplify right side
   17,505x = 675,064,324
5. Step 5: Solve for x
   x = 675,064,324/17,505
6. Step 6: Final answer
   x = 38,564.09