Finding the Third Proportional to 6,166 and 12,692

Step by Step Solution

1. Step 1: Write the proportion equation
   6,166 : 12,692 = 12,692 : x
2. Step 2: Convert to fraction form
   6,166/12,692 = 12,692/x
3. Step 3: Cross multiply
   6,166x = 12,692 × 12,692
4. Step 4: Simplify right side
   6,166x = 161,086,864
5. Step 5: Solve for x
   x = 161,086,864/6,166
6. Step 6: Final answer
   x = 26,125.02