Finding the Third Proportional to 25,892 and 39,783

Step by Step Solution

1. Step 1: Write the proportion equation
   25,892 : 39,783 = 39,783 : x
2. Step 2: Convert to fraction form
   25,892/39,783 = 39,783/x
3. Step 3: Cross multiply
   25,892x = 39,783 × 39,783
4. Step 4: Simplify right side
   25,892x = 1,582,687,089
5. Step 5: Solve for x
   x = 1,582,687,089/25,892
6. Step 6: Final answer
   x = 61,126.49