Finding the Third Proportional to 10,089 and 21,414

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089 : 21,414 = 21,414 : x
2. Step 2: Convert to fraction form
   10,089/21,414 = 21,414/x
3. Step 3: Cross multiply
   10,089x = 21,414 × 21,414
4. Step 4: Simplify right side
   10,089x = 458,559,396
5. Step 5: Solve for x
   x = 458,559,396/10,089
6. Step 6: Final answer
   x = 45,451.42