Finding the Third Proportional to 36,208 and 76,736

Step by Step Solution

1. Step 1: Write the proportion equation
   36,208 : 76,736 = 76,736 : x
2. Step 2: Convert to fraction form
   36,208/76,736 = 76,736/x
3. Step 3: Cross multiply
   36,208x = 76,736 × 76,736
4. Step 4: Simplify right side
   36,208x = 5,888,413,696
5. Step 5: Solve for x
   x = 5,888,413,696/36,208
6. Step 6: Final answer
   x = 162,627.42