Finding the Third Proportional to 36,824 and 49,404

Step by Step Solution

1. Step 1: Write the proportion equation
   36,824 : 49,404 = 49,404 : x
2. Step 2: Convert to fraction form
   36,824/49,404 = 49,404/x
3. Step 3: Cross multiply
   36,824x = 49,404 × 49,404
4. Step 4: Simplify right side
   36,824x = 2,440,755,216
5. Step 5: Solve for x
   x = 2,440,755,216/36,824
6. Step 6: Final answer
   x = 66,281.64