Finding the Third Proportional to 6,174 and 13,713

Step by Step Solution

1. Step 1: Write the proportion equation
   6,174 : 13,713 = 13,713 : x
2. Step 2: Convert to fraction form
   6,174/13,713 = 13,713/x
3. Step 3: Cross multiply
   6,174x = 13,713 × 13,713
4. Step 4: Simplify right side
   6,174x = 188,046,369
5. Step 5: Solve for x
   x = 188,046,369/6,174
6. Step 6: Final answer
   x = 30,457.79