Finding the Third Proportional to 10,382 and 23,110

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382 : 23,110 = 23,110 : x
2. Step 2: Convert to fraction form
   10,382/23,110 = 23,110/x
3. Step 3: Cross multiply
   10,382x = 23,110 × 23,110
4. Step 4: Simplify right side
   10,382x = 534,072,100
5. Step 5: Solve for x
   x = 534,072,100/10,382
6. Step 6: Final answer
   x = 51,442.12