Finding the Third Proportional to 11,832 and 25,758

Step by Step Solution

1. Step 1: Write the proportion equation
   11,832 : 25,758 = 25,758 : x
2. Step 2: Convert to fraction form
   11,832/25,758 = 25,758/x
3. Step 3: Cross multiply
   11,832x = 25,758 × 25,758
4. Step 4: Simplify right side
   11,832x = 663,474,564
5. Step 5: Solve for x
   x = 663,474,564/11,832
6. Step 6: Final answer
   x = 56,074.59