Finding the Third Proportional to 16,802 and 35,327

Step by Step Solution

1. Step 1: Write the proportion equation
   16,802 : 35,327 = 35,327 : x
2. Step 2: Convert to fraction form
   16,802/35,327 = 35,327/x
3. Step 3: Cross multiply
   16,802x = 35,327 × 35,327
4. Step 4: Simplify right side
   16,802x = 1,247,996,929
5. Step 5: Solve for x
   x = 1,247,996,929/16,802
6. Step 6: Final answer
   x = 74,276.69