Finding the Third Proportional to 25,194 and 55,162

Step by Step Solution

1. Step 1: Write the proportion equation
   25,194 : 55,162 = 55,162 : x
2. Step 2: Convert to fraction form
   25,194/55,162 = 55,162/x
3. Step 3: Cross multiply
   25,194x = 55,162 × 55,162
4. Step 4: Simplify right side
   25,194x = 3,042,846,244
5. Step 5: Solve for x
   x = 3,042,846,244/25,194
6. Step 6: Final answer
   x = 120,776.62