Finding the Third Proportional to 2,546 and 5,350

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546 : 5,350 = 5,350 : x
2. Step 2: Convert to fraction form
   2,546/5,350 = 5,350/x
3. Step 3: Cross multiply
   2,546x = 5,350 × 5,350
4. Step 4: Simplify right side
   2,546x = 28,622,500
5. Step 5: Solve for x
   x = 28,622,500/2,546
6. Step 6: Final answer
   x = 11,242.14