Finding the Third Proportional to 8,243 and 13,013

Step by Step Solution

1. Step 1: Write the proportion equation
   8,243 : 13,013 = 13,013 : x
2. Step 2: Convert to fraction form
   8,243/13,013 = 13,013/x
3. Step 3: Cross multiply
   8,243x = 13,013 × 13,013
4. Step 4: Simplify right side
   8,243x = 169,338,169
5. Step 5: Solve for x
   x = 169,338,169/8,243
6. Step 6: Final answer
   x = 20,543.27