Finding the Third Proportional to 16,669 and 35,642

Step by Step Solution

1. Step 1: Write the proportion equation
   16,669 : 35,642 = 35,642 : x
2. Step 2: Convert to fraction form
   16,669/35,642 = 35,642/x
3. Step 3: Cross multiply
   16,669x = 35,642 × 35,642
4. Step 4: Simplify right side
   16,669x = 1,270,352,164
5. Step 5: Solve for x
   x = 1,270,352,164/16,669
6. Step 6: Final answer
   x = 76,210.46