Finding the Third Proportional to 21,902 and 48,002

Step by Step Solution

1. Step 1: Write the proportion equation
   21,902 : 48,002 = 48,002 : x
2. Step 2: Convert to fraction form
   21,902/48,002 = 48,002/x
3. Step 3: Cross multiply
   21,902x = 48,002 × 48,002
4. Step 4: Simplify right side
   21,902x = 2,304,192,004
5. Step 5: Solve for x
   x = 2,304,192,004/21,902
6. Step 6: Final answer
   x = 105,204.64