Finding the Third Proportional to 32,824 and 49,624

Step by Step Solution

1. Step 1: Write the proportion equation
   32,824 : 49,624 = 49,624 : x
2. Step 2: Convert to fraction form
   32,824/49,624 = 49,624/x
3. Step 3: Cross multiply
   32,824x = 49,624 × 49,624
4. Step 4: Simplify right side
   32,824x = 2,462,541,376
5. Step 5: Solve for x
   x = 2,462,541,376/32,824
6. Step 6: Final answer
   x = 75,022.59