Finding the Third Proportional to 15,742 and 34,404

Step by Step Solution

1. Step 1: Write the proportion equation
   15,742 : 34,404 = 34,404 : x
2. Step 2: Convert to fraction form
   15,742/34,404 = 34,404/x
3. Step 3: Cross multiply
   15,742x = 34,404 × 34,404
4. Step 4: Simplify right side
   15,742x = 1,183,635,216
5. Step 5: Solve for x
   x = 1,183,635,216/15,742
6. Step 6: Final answer
   x = 75,189.63