Finding the Third Proportional to 2,414 and 5,300

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414 : 5,300 = 5,300 : x
2. Step 2: Convert to fraction form
   2,414/5,300 = 5,300/x
3. Step 3: Cross multiply
   2,414x = 5,300 × 5,300
4. Step 4: Simplify right side
   2,414x = 28,090,000
5. Step 5: Solve for x
   x = 28,090,000/2,414
6. Step 6: Final answer
   x = 11,636.29