Finding the Third Proportional to 10,029 and 21,802

Step by Step Solution

1. Step 1: Write the proportion equation
   10,029 : 21,802 = 21,802 : x
2. Step 2: Convert to fraction form
   10,029/21,802 = 21,802/x
3. Step 3: Cross multiply
   10,029x = 21,802 × 21,802
4. Step 4: Simplify right side
   10,029x = 475,327,204
5. Step 5: Solve for x
   x = 475,327,204/10,029
6. Step 6: Final answer
   x = 47,395.27