Finding the Third Proportional to 25,538 and 55,186

Step by Step Solution

1. Step 1: Write the proportion equation
   25,538 : 55,186 = 55,186 : x
2. Step 2: Convert to fraction form
   25,538/55,186 = 55,186/x
3. Step 3: Cross multiply
   25,538x = 55,186 × 55,186
4. Step 4: Simplify right side
   25,538x = 3,045,494,596
5. Step 5: Solve for x
   x = 3,045,494,596/25,538
6. Step 6: Final answer
   x = 119,253.45