Finding the Third Proportional to 10,024 and 21,000

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024 : 21,000 = 21,000 : x
2. Step 2: Convert to fraction form
   10,024/21,000 = 21,000/x
3. Step 3: Cross multiply
   10,024x = 21,000 × 21,000
4. Step 4: Simplify right side
   10,024x = 441,000,000
5. Step 5: Solve for x
   x = 441,000,000/10,024
6. Step 6: Final answer
   x = 43,994.41