Finding the Third Proportional to 10,004 and 17,512

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 17,512 = 17,512 : x
2. Step 2: Convert to fraction form
   10,004/17,512 = 17,512/x
3. Step 3: Cross multiply
   10,004x = 17,512 × 17,512
4. Step 4: Simplify right side
   10,004x = 306,670,144
5. Step 5: Solve for x
   x = 306,670,144/10,004
6. Step 6: Final answer
   x = 30,654.75