Finding the Third Proportional to 41,696 and 64,680

Step by Step Solution

1. Step 1: Write the proportion equation
   41,696 : 64,680 = 64,680 : x
2. Step 2: Convert to fraction form
   41,696/64,680 = 64,680/x
3. Step 3: Cross multiply
   41,696x = 64,680 × 64,680
4. Step 4: Simplify right side
   41,696x = 4,183,502,400
5. Step 5: Solve for x
   x = 4,183,502,400/41,696
6. Step 6: Final answer
   x = 100,333.42