Finding the Third Proportional to 3,580 and 7,834

Step by Step Solution

1. Step 1: Write the proportion equation
   3,580 : 7,834 = 7,834 : x
2. Step 2: Convert to fraction form
   3,580/7,834 = 7,834/x
3. Step 3: Cross multiply
   3,580x = 7,834 × 7,834
4. Step 4: Simplify right side
   3,580x = 61,371,556
5. Step 5: Solve for x
   x = 61,371,556/3,580
6. Step 6: Final answer
   x = 17,142.89