Finding the Third Proportional to 10,189 and 21,033

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189 : 21,033 = 21,033 : x
2. Step 2: Convert to fraction form
   10,189/21,033 = 21,033/x
3. Step 3: Cross multiply
   10,189x = 21,033 × 21,033
4. Step 4: Simplify right side
   10,189x = 442,387,089
5. Step 5: Solve for x
   x = 442,387,089/10,189
6. Step 6: Final answer
   x = 43,418.11