Finding the Third Proportional to 25,578 and 37,530

Step by Step Solution

1. Step 1: Write the proportion equation
   25,578 : 37,530 = 37,530 : x
2. Step 2: Convert to fraction form
   25,578/37,530 = 37,530/x
3. Step 3: Cross multiply
   25,578x = 37,530 × 37,530
4. Step 4: Simplify right side
   25,578x = 1,408,500,900
5. Step 5: Solve for x
   x = 1,408,500,900/25,578
6. Step 6: Final answer
   x = 55,066.89