Finding the Third Proportional to 13,174 and 17,747

Step by Step Solution

1. Step 1: Write the proportion equation
   13,174 : 17,747 = 17,747 : x
2. Step 2: Convert to fraction form
   13,174/17,747 = 17,747/x
3. Step 3: Cross multiply
   13,174x = 17,747 × 17,747
4. Step 4: Simplify right side
   13,174x = 314,956,009
5. Step 5: Solve for x
   x = 314,956,009/13,174
6. Step 6: Final answer
   x = 23,907.39