Finding the Third Proportional to 25,892 and 37,582

Step by Step Solution

1. Step 1: Write the proportion equation
   25,892 : 37,582 = 37,582 : x
2. Step 2: Convert to fraction form
   25,892/37,582 = 37,582/x
3. Step 3: Cross multiply
   25,892x = 37,582 × 37,582
4. Step 4: Simplify right side
   25,892x = 1,412,406,724
5. Step 5: Solve for x
   x = 1,412,406,724/25,892
6. Step 6: Final answer
   x = 54,549.93