Finding the Third Proportional to 15,796 and 34,568

Step by Step Solution

1. Step 1: Write the proportion equation
   15,796 : 34,568 = 34,568 : x
2. Step 2: Convert to fraction form
   15,796/34,568 = 34,568/x
3. Step 3: Cross multiply
   15,796x = 34,568 × 34,568
4. Step 4: Simplify right side
   15,796x = 1,194,946,624
5. Step 5: Solve for x
   x = 1,194,946,624/15,796
6. Step 6: Final answer
   x = 75,648.68