Finding the Third Proportional to 21,384 and 52,002

Step by Step Solution

1. Step 1: Write the proportion equation
   21,384 : 52,002 = 52,002 : x
2. Step 2: Convert to fraction form
   21,384/52,002 = 52,002/x
3. Step 3: Cross multiply
   21,384x = 52,002 × 52,002
4. Step 4: Simplify right side
   21,384x = 2,704,208,004
5. Step 5: Solve for x
   x = 2,704,208,004/21,384
6. Step 6: Final answer
   x = 126,459.41