Finding the Third Proportional to 41,429 and 65,096

Step by Step Solution

1. Step 1: Write the proportion equation
   41,429 : 65,096 = 65,096 : x
2. Step 2: Convert to fraction form
   41,429/65,096 = 65,096/x
3. Step 3: Cross multiply
   41,429x = 65,096 × 65,096
4. Step 4: Simplify right side
   41,429x = 4,237,489,216
5. Step 5: Solve for x
   x = 4,237,489,216/41,429
6. Step 6: Final answer
   x = 102,283.16