Finding the Third Proportional to 25,872 and 55,435

Step by Step Solution

1. Step 1: Write the proportion equation
   25,872 : 55,435 = 55,435 : x
2. Step 2: Convert to fraction form
   25,872/55,435 = 55,435/x
3. Step 3: Cross multiply
   25,872x = 55,435 × 55,435
4. Step 4: Simplify right side
   25,872x = 3,073,039,225
5. Step 5: Solve for x
   x = 3,073,039,225/25,872
6. Step 6: Final answer
   x = 118,778.57