Finding the Third Proportional to 11,766 and 25,870

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 25,870 = 25,870 : x
2. Step 2: Convert to fraction form
   11,766/25,870 = 25,870/x
3. Step 3: Cross multiply
   11,766x = 25,870 × 25,870
4. Step 4: Simplify right side
   11,766x = 669,256,900
5. Step 5: Solve for x
   x = 669,256,900/11,766
6. Step 6: Final answer
   x = 56,880.58