Finding the Third Proportional to 10,189 and 20,810

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189 : 20,810 = 20,810 : x
2. Step 2: Convert to fraction form
   10,189/20,810 = 20,810/x
3. Step 3: Cross multiply
   10,189x = 20,810 × 20,810
4. Step 4: Simplify right side
   10,189x = 433,056,100
5. Step 5: Solve for x
   x = 433,056,100/10,189
6. Step 6: Final answer
   x = 42,502.32