Finding the Third Proportional to 16,824 and 35,852

Step by Step Solution

1. Step 1: Write the proportion equation
   16,824 : 35,852 = 35,852 : x
2. Step 2: Convert to fraction form
   16,824/35,852 = 35,852/x
3. Step 3: Cross multiply
   16,824x = 35,852 × 35,852
4. Step 4: Simplify right side
   16,824x = 1,285,365,904
5. Step 5: Solve for x
   x = 1,285,365,904/16,824
6. Step 6: Final answer
   x = 76,400.73