Finding the Third Proportional to 8,189 and 12,810

Step by Step Solution

1. Step 1: Write the proportion equation
   8,189 : 12,810 = 12,810 : x
2. Step 2: Convert to fraction form
   8,189/12,810 = 12,810/x
3. Step 3: Cross multiply
   8,189x = 12,810 × 12,810
4. Step 4: Simplify right side
   8,189x = 164,096,100
5. Step 5: Solve for x
   x = 164,096,100/8,189
6. Step 6: Final answer
   x = 20,038.60