Finding the Third Proportional to 10,024 and 21,902

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024 : 21,902 = 21,902 : x
2. Step 2: Convert to fraction form
   10,024/21,902 = 21,902/x
3. Step 3: Cross multiply
   10,024x = 21,902 × 21,902
4. Step 4: Simplify right side
   10,024x = 479,697,604
5. Step 5: Solve for x
   x = 479,697,604/10,024
6. Step 6: Final answer
   x = 47,854.91