Finding the Third Proportional to 35,684 and 76,308

Step by Step Solution

1. Step 1: Write the proportion equation
   35,684 : 76,308 = 76,308 : x
2. Step 2: Convert to fraction form
   35,684/76,308 = 76,308/x
3. Step 3: Cross multiply
   35,684x = 76,308 × 76,308
4. Step 4: Simplify right side
   35,684x = 5,822,910,864
5. Step 5: Solve for x
   x = 5,822,910,864/35,684
6. Step 6: Final answer
   x = 163,179.88