Finding the Third Proportional to 43,696 and 65,760

Step by Step Solution

1. Step 1: Write the proportion equation
   43,696 : 65,760 = 65,760 : x
2. Step 2: Convert to fraction form
   43,696/65,760 = 65,760/x
3. Step 3: Cross multiply
   43,696x = 65,760 × 65,760
4. Step 4: Simplify right side
   43,696x = 4,324,377,600
5. Step 5: Solve for x
   x = 4,324,377,600/43,696
6. Step 6: Final answer
   x = 98,965.07