Finding the Third Proportional to 2,414 and 3,602

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414 : 3,602 = 3,602 : x
2. Step 2: Convert to fraction form
   2,414/3,602 = 3,602/x
3. Step 3: Cross multiply
   2,414x = 3,602 × 3,602
4. Step 4: Simplify right side
   2,414x = 12,974,404
5. Step 5: Solve for x
   x = 12,974,404/2,414
6. Step 6: Final answer
   x = 5,374.65