Finding the Third Proportional to 10,123 and 21,345

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123 : 21,345 = 21,345 : x
2. Step 2: Convert to fraction form
   10,123/21,345 = 21,345/x
3. Step 3: Cross multiply
   10,123x = 21,345 × 21,345
4. Step 4: Simplify right side
   10,123x = 455,609,025
5. Step 5: Solve for x
   x = 455,609,025/10,123
6. Step 6: Final answer
   x = 45,007.31