Finding the Third Proportional to 25,853 and 37,771

Step by Step Solution

1. Step 1: Write the proportion equation
   25,853 : 37,771 = 37,771 : x
2. Step 2: Convert to fraction form
   25,853/37,771 = 37,771/x
3. Step 3: Cross multiply
   25,853x = 37,771 × 37,771
4. Step 4: Simplify right side
   25,853x = 1,426,648,441
5. Step 5: Solve for x
   x = 1,426,648,441/25,853
6. Step 6: Final answer
   x = 55,183.09