Finding the Third Proportional to 37,514 and 54,824

Step by Step Solution

1. Step 1: Write the proportion equation
   37,514 : 54,824 = 54,824 : x
2. Step 2: Convert to fraction form
   37,514/54,824 = 54,824/x
3. Step 3: Cross multiply
   37,514x = 54,824 × 54,824
4. Step 4: Simplify right side
   37,514x = 3,005,670,976
5. Step 5: Solve for x
   x = 3,005,670,976/37,514
6. Step 6: Final answer
   x = 80,121.31