Finding the Third Proportional to 12,166 and 25,900

Step by Step Solution

1. Step 1: Write the proportion equation
   12,166 : 25,900 = 25,900 : x
2. Step 2: Convert to fraction form
   12,166/25,900 = 25,900/x
3. Step 3: Cross multiply
   12,166x = 25,900 × 25,900
4. Step 4: Simplify right side
   12,166x = 670,810,000
5. Step 5: Solve for x
   x = 670,810,000/12,166
6. Step 6: Final answer
   x = 55,138.09