Finding the Third Proportional to 25,676 and 55,185

Step by Step Solution

1. Step 1: Write the proportion equation
   25,676 : 55,185 = 55,185 : x
2. Step 2: Convert to fraction form
   25,676/55,185 = 55,185/x
3. Step 3: Cross multiply
   25,676x = 55,185 × 55,185
4. Step 4: Simplify right side
   25,676x = 3,045,384,225
5. Step 5: Solve for x
   x = 3,045,384,225/25,676
6. Step 6: Final answer
   x = 118,608.20