Finding the Third Proportional to 11,797 and 25,821

Step by Step Solution

1. Step 1: Write the proportion equation
   11,797 : 25,821 = 25,821 : x
2. Step 2: Convert to fraction form
   11,797/25,821 = 25,821/x
3. Step 3: Cross multiply
   11,797x = 25,821 × 25,821
4. Step 4: Simplify right side
   11,797x = 666,724,041
5. Step 5: Solve for x
   x = 666,724,041/11,797
6. Step 6: Final answer
   x = 56,516.41