Finding the Third Proportional to 6,174 and 12,860

Step by Step Solution

1. Step 1: Write the proportion equation
   6,174 : 12,860 = 12,860 : x
2. Step 2: Convert to fraction form
   6,174/12,860 = 12,860/x
3. Step 3: Cross multiply
   6,174x = 12,860 × 12,860
4. Step 4: Simplify right side
   6,174x = 165,379,600
5. Step 5: Solve for x
   x = 165,379,600/6,174
6. Step 6: Final answer
   x = 26,786.46