Finding the Third Proportional to 32,424 and 34,728

Step by Step Solution

1. Step 1: Write the proportion equation
   32,424 : 34,728 = 34,728 : x
2. Step 2: Convert to fraction form
   32,424/34,728 = 34,728/x
3. Step 3: Cross multiply
   32,424x = 34,728 × 34,728
4. Step 4: Simplify right side
   32,424x = 1,206,033,984
5. Step 5: Solve for x
   x = 1,206,033,984/32,424
6. Step 6: Final answer
   x = 37,195.72