Finding the Third Proportional to 17,646 and 25,767

Step by Step Solution

1. Step 1: Write the proportion equation
   17,646 : 25,767 = 25,767 : x
2. Step 2: Convert to fraction form
   17,646/25,767 = 25,767/x
3. Step 3: Cross multiply
   17,646x = 25,767 × 25,767
4. Step 4: Simplify right side
   17,646x = 663,938,289
5. Step 5: Solve for x
   x = 663,938,289/17,646
6. Step 6: Final answer
   x = 37,625.43