Finding the Third Proportional to 25,876 and 56,491

Step by Step Solution

1. Step 1: Write the proportion equation
   25,876 : 56,491 = 56,491 : x
2. Step 2: Convert to fraction form
   25,876/56,491 = 56,491/x
3. Step 3: Cross multiply
   25,876x = 56,491 × 56,491
4. Step 4: Simplify right side
   25,876x = 3,191,233,081
5. Step 5: Solve for x
   x = 3,191,233,081/25,876
6. Step 6: Final answer
   x = 123,327.91