Finding the Third Proportional to 25,286 and 37,016

Step by Step Solution

1. Step 1: Write the proportion equation
   25,286 : 37,016 = 37,016 : x
2. Step 2: Convert to fraction form
   25,286/37,016 = 37,016/x
3. Step 3: Cross multiply
   25,286x = 37,016 × 37,016
4. Step 4: Simplify right side
   25,286x = 1,370,184,256
5. Step 5: Solve for x
   x = 1,370,184,256/25,286
6. Step 6: Final answer
   x = 54,187.47