Finding the Third Proportional to 15,734 and 34,492

Step by Step Solution

1. Step 1: Write the proportion equation
   15,734 : 34,492 = 34,492 : x
2. Step 2: Convert to fraction form
   15,734/34,492 = 34,492/x
3. Step 3: Cross multiply
   15,734x = 34,492 × 34,492
4. Step 4: Simplify right side
   15,734x = 1,189,698,064
5. Step 5: Solve for x
   x = 1,189,698,064/15,734
6. Step 6: Final answer
   x = 75,613.20