Finding the Third Proportional to 10,746 and 23,112

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746 : 23,112 = 23,112 : x
2. Step 2: Convert to fraction form
   10,746/23,112 = 23,112/x
3. Step 3: Cross multiply
   10,746x = 23,112 × 23,112
4. Step 4: Simplify right side
   10,746x = 534,164,544
5. Step 5: Solve for x
   x = 534,164,544/10,746
6. Step 6: Final answer
   x = 49,708.22