Finding the Third Proportional to 10,004 and 21,520

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 21,520 = 21,520 : x
2. Step 2: Convert to fraction form
   10,004/21,520 = 21,520/x
3. Step 3: Cross multiply
   10,004x = 21,520 × 21,520
4. Step 4: Simplify right side
   10,004x = 463,110,400
5. Step 5: Solve for x
   x = 463,110,400/10,004
6. Step 6: Final answer
   x = 46,292.52