Finding the Third Proportional to 17,886 and 25,797

Step by Step Solution

1. Step 1: Write the proportion equation
   17,886 : 25,797 = 25,797 : x
2. Step 2: Convert to fraction form
   17,886/25,797 = 25,797/x
3. Step 3: Cross multiply
   17,886x = 25,797 × 25,797
4. Step 4: Simplify right side
   17,886x = 665,485,209
5. Step 5: Solve for x
   x = 665,485,209/17,886
6. Step 6: Final answer
   x = 37,207.05