Finding the Third Proportional to 12,026 and 25,780

Step by Step Solution

1. Step 1: Write the proportion equation
   12,026 : 25,780 = 25,780 : x
2. Step 2: Convert to fraction form
   12,026/25,780 = 25,780/x
3. Step 3: Cross multiply
   12,026x = 25,780 × 25,780
4. Step 4: Simplify right side
   12,026x = 664,608,400
5. Step 5: Solve for x
   x = 664,608,400/12,026
6. Step 6: Final answer
   x = 55,264.29