Finding the Third Proportional to 35,009 and 76,823

Step by Step Solution

1. Step 1: Write the proportion equation
   35,009 : 76,823 = 76,823 : x
2. Step 2: Convert to fraction form
   35,009/76,823 = 76,823/x
3. Step 3: Cross multiply
   35,009x = 76,823 × 76,823
4. Step 4: Simplify right side
   35,009x = 5,901,773,329
5. Step 5: Solve for x
   x = 5,901,773,329/35,009
6. Step 6: Final answer
   x = 168,578.75