Finding the Third Proportional to 6,196 and 12,622

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196 : 12,622 = 12,622 : x
2. Step 2: Convert to fraction form
   6,196/12,622 = 12,622/x
3. Step 3: Cross multiply
   6,196x = 12,622 × 12,622
4. Step 4: Simplify right side
   6,196x = 159,314,884
5. Step 5: Solve for x
   x = 159,314,884/6,196
6. Step 6: Final answer
   x = 25,712.54