Finding the Third Proportional to 25,674 and 55,036

Step by Step Solution

1. Step 1: Write the proportion equation
   25,674 : 55,036 = 55,036 : x
2. Step 2: Convert to fraction form
   25,674/55,036 = 55,036/x
3. Step 3: Cross multiply
   25,674x = 55,036 × 55,036
4. Step 4: Simplify right side
   25,674x = 3,028,961,296
5. Step 5: Solve for x
   x = 3,028,961,296/25,674
6. Step 6: Final answer
   x = 117,977.77