Finding the Third Proportional to 2,490 and 3,546

Step by Step Solution

1. Step 1: Write the proportion equation
   2,490 : 3,546 = 3,546 : x
2. Step 2: Convert to fraction form
   2,490/3,546 = 3,546/x
3. Step 3: Cross multiply
   2,490x = 3,546 × 3,546
4. Step 4: Simplify right side
   2,490x = 12,574,116
5. Step 5: Solve for x
   x = 12,574,116/2,490
6. Step 6: Final answer
   x = 5,049.85