Finding the Third Proportional to 8,191 and 12,813

Step by Step Solution

1. Step 1: Write the proportion equation
   8,191 : 12,813 = 12,813 : x
2. Step 2: Convert to fraction form
   8,191/12,813 = 12,813/x
3. Step 3: Cross multiply
   8,191x = 12,813 × 12,813
4. Step 4: Simplify right side
   8,191x = 164,172,969
5. Step 5: Solve for x
   x = 164,172,969/8,191
6. Step 6: Final answer
   x = 20,043.09