Finding the Third Proportional to 49,824 and 72,820

Step by Step Solution

1. Step 1: Write the proportion equation
   49,824 : 72,820 = 72,820 : x
2. Step 2: Convert to fraction form
   49,824/72,820 = 72,820/x
3. Step 3: Cross multiply
   49,824x = 72,820 × 72,820
4. Step 4: Simplify right side
   49,824x = 5,302,752,400
5. Step 5: Solve for x
   x = 5,302,752,400/49,824
6. Step 6: Final answer
   x = 106,429.68