Finding the Third Proportional to 25,862 and 54,796

Step by Step Solution

1. Step 1: Write the proportion equation
   25,862 : 54,796 = 54,796 : x
2. Step 2: Convert to fraction form
   25,862/54,796 = 54,796/x
3. Step 3: Cross multiply
   25,862x = 54,796 × 54,796
4. Step 4: Simplify right side
   25,862x = 3,002,601,616
5. Step 5: Solve for x
   x = 3,002,601,616/25,862
6. Step 6: Final answer
   x = 116,100.91