Finding the Third Proportional to 6,164 and 13,222

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164 : 13,222 = 13,222 : x
2. Step 2: Convert to fraction form
   6,164/13,222 = 13,222/x
3. Step 3: Cross multiply
   6,164x = 13,222 × 13,222
4. Step 4: Simplify right side
   6,164x = 174,821,284
5. Step 5: Solve for x
   x = 174,821,284/6,164
6. Step 6: Final answer
   x = 28,361.66