Finding the Third Proportional to 6,022 and 13,178

Step by Step Solution

1. Step 1: Write the proportion equation
   6,022 : 13,178 = 13,178 : x
2. Step 2: Convert to fraction form
   6,022/13,178 = 13,178/x
3. Step 3: Cross multiply
   6,022x = 13,178 × 13,178
4. Step 4: Simplify right side
   6,022x = 173,659,684
5. Step 5: Solve for x
   x = 173,659,684/6,022
6. Step 6: Final answer
   x = 28,837.54