Finding the Third Proportional to 41,840 and 64,096

Step by Step Solution

1. Step 1: Write the proportion equation
   41,840 : 64,096 = 64,096 : x
2. Step 2: Convert to fraction form
   41,840/64,096 = 64,096/x
3. Step 3: Cross multiply
   41,840x = 64,096 × 64,096
4. Step 4: Simplify right side
   41,840x = 4,108,297,216
5. Step 5: Solve for x
   x = 4,108,297,216/41,840
6. Step 6: Final answer
   x = 98,190.66