Finding the Third Proportional to 25,986 and 37,161

Step by Step Solution

1. Step 1: Write the proportion equation
   25,986 : 37,161 = 37,161 : x
2. Step 2: Convert to fraction form
   25,986/37,161 = 37,161/x
3. Step 3: Cross multiply
   25,986x = 37,161 × 37,161
4. Step 4: Simplify right side
   25,986x = 1,380,939,921
5. Step 5: Solve for x
   x = 1,380,939,921/25,986
6. Step 6: Final answer
   x = 53,141.69