Finding the Third Proportional to 2,340 and 5,446

Step by Step Solution

1. Step 1: Write the proportion equation
   2,340 : 5,446 = 5,446 : x
2. Step 2: Convert to fraction form
   2,340/5,446 = 5,446/x
3. Step 3: Cross multiply
   2,340x = 5,446 × 5,446
4. Step 4: Simplify right side
   2,340x = 29,658,916
5. Step 5: Solve for x
   x = 29,658,916/2,340
6. Step 6: Final answer
   x = 12,674.75