Finding the Third Proportional to 25,872 and 55,706

Step by Step Solution

1. Step 1: Write the proportion equation
   25,872 : 55,706 = 55,706 : x
2. Step 2: Convert to fraction form
   25,872/55,706 = 55,706/x
3. Step 3: Cross multiply
   25,872x = 55,706 × 55,706
4. Step 4: Simplify right side
   25,872x = 3,103,158,436
5. Step 5: Solve for x
   x = 3,103,158,436/25,872
6. Step 6: Final answer
   x = 119,942.73