Finding the Third Proportional to 10,489 and 21,833

Step by Step Solution

1. Step 1: Write the proportion equation
   10,489 : 21,833 = 21,833 : x
2. Step 2: Convert to fraction form
   10,489/21,833 = 21,833/x
3. Step 3: Cross multiply
   10,489x = 21,833 × 21,833
4. Step 4: Simplify right side
   10,489x = 476,679,889
5. Step 5: Solve for x
   x = 476,679,889/10,489
6. Step 6: Final answer
   x = 45,445.69