Finding the Third Proportional to 32,096 and 68,568

Step by Step Solution

1. Step 1: Write the proportion equation
   32,096 : 68,568 = 68,568 : x
2. Step 2: Convert to fraction form
   32,096/68,568 = 68,568/x
3. Step 3: Cross multiply
   32,096x = 68,568 × 68,568
4. Step 4: Simplify right side
   32,096x = 4,701,570,624
5. Step 5: Solve for x
   x = 4,701,570,624/32,096
6. Step 6: Final answer
   x = 146,484.63