Finding the Third Proportional to 13,004 and 17,378

Step by Step Solution

1. Step 1: Write the proportion equation
   13,004 : 17,378 = 17,378 : x
2. Step 2: Convert to fraction form
   13,004/17,378 = 17,378/x
3. Step 3: Cross multiply
   13,004x = 17,378 × 17,378
4. Step 4: Simplify right side
   13,004x = 301,994,884
5. Step 5: Solve for x
   x = 301,994,884/13,004
6. Step 6: Final answer
   x = 23,223.23