Finding the Third Proportional to 10,138 and 21,788

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138 : 21,788 = 21,788 : x
2. Step 2: Convert to fraction form
   10,138/21,788 = 21,788/x
3. Step 3: Cross multiply
   10,138x = 21,788 × 21,788
4. Step 4: Simplify right side
   10,138x = 474,716,944
5. Step 5: Solve for x
   x = 474,716,944/10,138
6. Step 6: Final answer
   x = 46,825.50