Finding the Third Proportional to 10,229 and 20,833

Step by Step Solution

1. Step 1: Write the proportion equation
   10,229 : 20,833 = 20,833 : x
2. Step 2: Convert to fraction form
   10,229/20,833 = 20,833/x
3. Step 3: Cross multiply
   10,229x = 20,833 × 20,833
4. Step 4: Simplify right side
   10,229x = 434,013,889
5. Step 5: Solve for x
   x = 434,013,889/10,229
6. Step 6: Final answer
   x = 42,429.75