Finding the Third Proportional to 46,096 and 65,283

Step by Step Solution

1. Step 1: Write the proportion equation
   46,096 : 65,283 = 65,283 : x
2. Step 2: Convert to fraction form
   46,096/65,283 = 65,283/x
3. Step 3: Cross multiply
   46,096x = 65,283 × 65,283
4. Step 4: Simplify right side
   46,096x = 4,261,870,089
5. Step 5: Solve for x
   x = 4,261,870,089/46,096
6. Step 6: Final answer
   x = 92,456.40