Finding the Third Proportional to 15,874 and 34,570

Step by Step Solution

1. Step 1: Write the proportion equation
   15,874 : 34,570 = 34,570 : x
2. Step 2: Convert to fraction form
   15,874/34,570 = 34,570/x
3. Step 3: Cross multiply
   15,874x = 34,570 × 34,570
4. Step 4: Simplify right side
   15,874x = 1,195,084,900
5. Step 5: Solve for x
   x = 1,195,084,900/15,874
6. Step 6: Final answer
   x = 75,285.68