Finding the Third Proportional to 23,040 and 50,382

Step by Step Solution

1. Step 1: Write the proportion equation
   23,040 : 50,382 = 50,382 : x
2. Step 2: Convert to fraction form
   23,040/50,382 = 50,382/x
3. Step 3: Cross multiply
   23,040x = 50,382 × 50,382
4. Step 4: Simplify right side
   23,040x = 2,538,345,924
5. Step 5: Solve for x
   x = 2,538,345,924/23,040
6. Step 6: Final answer
   x = 110,171.26