Finding the Third Proportional to 10,004 and 13,110

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 13,110 = 13,110 : x
2. Step 2: Convert to fraction form
   10,004/13,110 = 13,110/x
3. Step 3: Cross multiply
   10,004x = 13,110 × 13,110
4. Step 4: Simplify right side
   10,004x = 171,872,100
5. Step 5: Solve for x
   x = 171,872,100/10,004
6. Step 6: Final answer
   x = 17,180.34