Finding the Third Proportional to 2,186 and 4,300

Step by Step Solution

1. Step 1: Write the proportion equation
   2,186 : 4,300 = 4,300 : x
2. Step 2: Convert to fraction form
   2,186/4,300 = 4,300/x
3. Step 3: Cross multiply
   2,186x = 4,300 × 4,300
4. Step 4: Simplify right side
   2,186x = 18,490,000
5. Step 5: Solve for x
   x = 18,490,000/2,186
6. Step 6: Final answer
   x = 8,458.37