Finding the Third Proportional to 8,096 and 12,574

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096 : 12,574 = 12,574 : x
2. Step 2: Convert to fraction form
   8,096/12,574 = 12,574/x
3. Step 3: Cross multiply
   8,096x = 12,574 × 12,574
4. Step 4: Simplify right side
   8,096x = 158,105,476
5. Step 5: Solve for x
   x = 158,105,476/8,096
6. Step 6: Final answer
   x = 19,528.84