Finding the Third Proportional to 22,002 and 51,884

Step by Step Solution

1. Step 1: Write the proportion equation
   22,002 : 51,884 = 51,884 : x
2. Step 2: Convert to fraction form
   22,002/51,884 = 51,884/x
3. Step 3: Cross multiply
   22,002x = 51,884 × 51,884
4. Step 4: Simplify right side
   22,002x = 2,691,949,456
5. Step 5: Solve for x
   x = 2,691,949,456/22,002
6. Step 6: Final answer
   x = 122,350.22