Finding the Third Proportional to 21,002 and 31,520

Step by Step Solution

1. Step 1: Write the proportion equation
   21,002 : 31,520 = 31,520 : x
2. Step 2: Convert to fraction form
   21,002/31,520 = 31,520/x
3. Step 3: Cross multiply
   21,002x = 31,520 × 31,520
4. Step 4: Simplify right side
   21,002x = 993,510,400
5. Step 5: Solve for x
   x = 993,510,400/21,002
6. Step 6: Final answer
   x = 47,305.51