Finding the Third Proportional to 10,084 and 22,040

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084 : 22,040 = 22,040 : x
2. Step 2: Convert to fraction form
   10,084/22,040 = 22,040/x
3. Step 3: Cross multiply
   10,084x = 22,040 × 22,040
4. Step 4: Simplify right side
   10,084x = 485,761,600
5. Step 5: Solve for x
   x = 485,761,600/10,084
6. Step 6: Final answer
   x = 48,171.52