Finding the Third Proportional to 25,862 and 55,684

Step by Step Solution

1. Step 1: Write the proportion equation
   25,862 : 55,684 = 55,684 : x
2. Step 2: Convert to fraction form
   25,862/55,684 = 55,684/x
3. Step 3: Cross multiply
   25,862x = 55,684 × 55,684
4. Step 4: Simplify right side
   25,862x = 3,100,707,856
5. Step 5: Solve for x
   x = 3,100,707,856/25,862
6. Step 6: Final answer
   x = 119,894.36