Finding the Third Proportional to 23,760 and 51,186

Step by Step Solution

1. Step 1: Write the proportion equation
   23,760 : 51,186 = 51,186 : x
2. Step 2: Convert to fraction form
   23,760/51,186 = 51,186/x
3. Step 3: Cross multiply
   23,760x = 51,186 × 51,186
4. Step 4: Simplify right side
   23,760x = 2,620,006,596
5. Step 5: Solve for x
   x = 2,620,006,596/23,760
6. Step 6: Final answer
   x = 110,269.64