Finding the Third Proportional to 6,169 and 13,147

Step by Step Solution

1. Step 1: Write the proportion equation
   6,169 : 13,147 = 13,147 : x
2. Step 2: Convert to fraction form
   6,169/13,147 = 13,147/x
3. Step 3: Cross multiply
   6,169x = 13,147 × 13,147
4. Step 4: Simplify right side
   6,169x = 172,843,609
5. Step 5: Solve for x
   x = 172,843,609/6,169
6. Step 6: Final answer
   x = 28,018.09