Finding the Third Proportional to 11,738 and 25,780

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738 : 25,780 = 25,780 : x
2. Step 2: Convert to fraction form
   11,738/25,780 = 25,780/x
3. Step 3: Cross multiply
   11,738x = 25,780 × 25,780
4. Step 4: Simplify right side
   11,738x = 664,608,400
5. Step 5: Solve for x
   x = 664,608,400/11,738
6. Step 6: Final answer
   x = 56,620.24