Finding the Third Proportional to 11,768 and 25,876

Step by Step Solution

1. Step 1: Write the proportion equation
   11,768 : 25,876 = 25,876 : x
2. Step 2: Convert to fraction form
   11,768/25,876 = 25,876/x
3. Step 3: Cross multiply
   11,768x = 25,876 × 25,876
4. Step 4: Simplify right side
   11,768x = 669,567,376
5. Step 5: Solve for x
   x = 669,567,376/11,768
6. Step 6: Final answer
   x = 56,897.30