Finding the Third Proportional to 2,622 and 5,646

Step by Step Solution

1. Step 1: Write the proportion equation
   2,622 : 5,646 = 5,646 : x
2. Step 2: Convert to fraction form
   2,622/5,646 = 5,646/x
3. Step 3: Cross multiply
   2,622x = 5,646 × 5,646
4. Step 4: Simplify right side
   2,622x = 31,877,316
5. Step 5: Solve for x
   x = 31,877,316/2,622
6. Step 6: Final answer
   x = 12,157.63