Finding the Third Proportional to 10,174 and 13,503

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174 : 13,503 = 13,503 : x
2. Step 2: Convert to fraction form
   10,174/13,503 = 13,503/x
3. Step 3: Cross multiply
   10,174x = 13,503 × 13,503
4. Step 4: Simplify right side
   10,174x = 182,331,009
5. Step 5: Solve for x
   x = 182,331,009/10,174
6. Step 6: Final answer
   x = 17,921.27