Finding the Third Proportional to 18,256 and 37,377

Step by Step Solution

1. Step 1: Write the proportion equation
   18,256 : 37,377 = 37,377 : x
2. Step 2: Convert to fraction form
   18,256/37,377 = 37,377/x
3. Step 3: Cross multiply
   18,256x = 37,377 × 37,377
4. Step 4: Simplify right side
   18,256x = 1,397,040,129
5. Step 5: Solve for x
   x = 1,397,040,129/18,256
6. Step 6: Final answer
   x = 76,524.99