Finding the Third Proportional to 6,164 and 12,612

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164 : 12,612 = 12,612 : x
2. Step 2: Convert to fraction form
   6,164/12,612 = 12,612/x
3. Step 3: Cross multiply
   6,164x = 12,612 × 12,612
4. Step 4: Simplify right side
   6,164x = 159,062,544
5. Step 5: Solve for x
   x = 159,062,544/6,164
6. Step 6: Final answer
   x = 25,805.09