Finding the Third Proportional to 12,080 and 25,804

Step by Step Solution

1. Step 1: Write the proportion equation
   12,080 : 25,804 = 25,804 : x
2. Step 2: Convert to fraction form
   12,080/25,804 = 25,804/x
3. Step 3: Cross multiply
   12,080x = 25,804 × 25,804
4. Step 4: Simplify right side
   12,080x = 665,846,416
5. Step 5: Solve for x
   x = 665,846,416/12,080
6. Step 6: Final answer
   x = 55,119.74