Finding the Third Proportional to 3,874 and 8,300

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874 : 8,300 = 8,300 : x
2. Step 2: Convert to fraction form
   3,874/8,300 = 8,300/x
3. Step 3: Cross multiply
   3,874x = 8,300 × 8,300
4. Step 4: Simplify right side
   3,874x = 68,890,000
5. Step 5: Solve for x
   x = 68,890,000/3,874
6. Step 6: Final answer
   x = 17,782.65