Finding the Third Proportional to 5,789 and 10,228

Step by Step Solution

1. Step 1: Write the proportion equation
   5,789 : 10,228 = 10,228 : x
2. Step 2: Convert to fraction form
   5,789/10,228 = 10,228/x
3. Step 3: Cross multiply
   5,789x = 10,228 × 10,228
4. Step 4: Simplify right side
   5,789x = 104,611,984
5. Step 5: Solve for x
   x = 104,611,984/5,789
6. Step 6: Final answer
   x = 18,070.82