Finding the Third Proportional to 2,414 and 3,152

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414 : 3,152 = 3,152 : x
2. Step 2: Convert to fraction form
   2,414/3,152 = 3,152/x
3. Step 3: Cross multiply
   2,414x = 3,152 × 3,152
4. Step 4: Simplify right side
   2,414x = 9,935,104
5. Step 5: Solve for x
   x = 9,935,104/2,414
6. Step 6: Final answer
   x = 4,115.62