Finding the Third Proportional to 46,096 and 69,568

Step by Step Solution

1. Step 1: Write the proportion equation
   46,096 : 69,568 = 69,568 : x
2. Step 2: Convert to fraction form
   46,096/69,568 = 69,568/x
3. Step 3: Cross multiply
   46,096x = 69,568 × 69,568
4. Step 4: Simplify right side
   46,096x = 4,839,706,624
5. Step 5: Solve for x
   x = 4,839,706,624/46,096
6. Step 6: Final answer
   x = 104,991.90