Finding the Third Proportional to 11,414 and 23,142

Step by Step Solution

1. Step 1: Write the proportion equation
   11,414 : 23,142 = 23,142 : x
2. Step 2: Convert to fraction form
   11,414/23,142 = 23,142/x
3. Step 3: Cross multiply
   11,414x = 23,142 × 23,142
4. Step 4: Simplify right side
   11,414x = 535,552,164
5. Step 5: Solve for x
   x = 535,552,164/11,414
6. Step 6: Final answer
   x = 46,920.64