Finding the Third Proportional to 12,034 and 17,503

Step by Step Solution

1. Step 1: Write the proportion equation
   12,034 : 17,503 = 17,503 : x
2. Step 2: Convert to fraction form
   12,034/17,503 = 17,503/x
3. Step 3: Cross multiply
   12,034x = 17,503 × 17,503
4. Step 4: Simplify right side
   12,034x = 306,355,009
5. Step 5: Solve for x
   x = 306,355,009/12,034
6. Step 6: Final answer
   x = 25,457.45