Finding the Third Proportional to 6,100 and 13,622

Step by Step Solution

1. Step 1: Write the proportion equation
   6,100 : 13,622 = 13,622 : x
2. Step 2: Convert to fraction form
   6,100/13,622 = 13,622/x
3. Step 3: Cross multiply
   6,100x = 13,622 × 13,622
4. Step 4: Simplify right side
   6,100x = 185,558,884
5. Step 5: Solve for x
   x = 185,558,884/6,100
6. Step 6: Final answer
   x = 30,419.49