Finding the Third Proportional to 23,382 and 51,145

Step by Step Solution

1. Step 1: Write the proportion equation
   23,382 : 51,145 = 51,145 : x
2. Step 2: Convert to fraction form
   23,382/51,145 = 51,145/x
3. Step 3: Cross multiply
   23,382x = 51,145 × 51,145
4. Step 4: Simplify right side
   23,382x = 2,615,811,025
5. Step 5: Solve for x
   x = 2,615,811,025/23,382
6. Step 6: Final answer
   x = 111,872.85