Finding the Third Proportional to 17,892 and 25,806

Step by Step Solution

1. Step 1: Write the proportion equation
   17,892 : 25,806 = 25,806 : x
2. Step 2: Convert to fraction form
   17,892/25,806 = 25,806/x
3. Step 3: Cross multiply
   17,892x = 25,806 × 25,806
4. Step 4: Simplify right side
   17,892x = 665,949,636
5. Step 5: Solve for x
   x = 665,949,636/17,892
6. Step 6: Final answer
   x = 37,220.53