Finding the Third Proportional to 11,780 and 25,747

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 25,747 = 25,747 : x
2. Step 2: Convert to fraction form
   11,780/25,747 = 25,747/x
3. Step 3: Cross multiply
   11,780x = 25,747 × 25,747
4. Step 4: Simplify right side
   11,780x = 662,908,009
5. Step 5: Solve for x
   x = 662,908,009/11,780
6. Step 6: Final answer
   x = 56,274.02