Finding the Third Proportional to 37,341 and 57,824

Step by Step Solution

1. Step 1: Write the proportion equation
   37,341 : 57,824 = 57,824 : x
2. Step 2: Convert to fraction form
   37,341/57,824 = 57,824/x
3. Step 3: Cross multiply
   37,341x = 57,824 × 57,824
4. Step 4: Simplify right side
   37,341x = 3,343,614,976
5. Step 5: Solve for x
   x = 3,343,614,976/37,341
6. Step 6: Final answer
   x = 89,542.73