Finding the Third Proportional to 11,866 and 25,680

Step by Step Solution

1. Step 1: Write the proportion equation
   11,866 : 25,680 = 25,680 : x
2. Step 2: Convert to fraction form
   11,866/25,680 = 25,680/x
3. Step 3: Cross multiply
   11,866x = 25,680 × 25,680
4. Step 4: Simplify right side
   11,866x = 659,462,400
5. Step 5: Solve for x
   x = 659,462,400/11,866
6. Step 6: Final answer
   x = 55,575.80