Finding the Third Proportional to 17,785 and 25,945

Step by Step Solution

1. Step 1: Write the proportion equation
   17,785 : 25,945 = 25,945 : x
2. Step 2: Convert to fraction form
   17,785/25,945 = 25,945/x
3. Step 3: Cross multiply
   17,785x = 25,945 × 25,945
4. Step 4: Simplify right side
   17,785x = 673,143,025
5. Step 5: Solve for x
   x = 673,143,025/17,785
6. Step 6: Final answer
   x = 37,848.92