Finding the Third Proportional to 23,642 and 51,578

Step by Step Solution

1. Step 1: Write the proportion equation
   23,642 : 51,578 = 51,578 : x
2. Step 2: Convert to fraction form
   23,642/51,578 = 51,578/x
3. Step 3: Cross multiply
   23,642x = 51,578 × 51,578
4. Step 4: Simplify right side
   23,642x = 2,660,290,084
5. Step 5: Solve for x
   x = 2,660,290,084/23,642
6. Step 6: Final answer
   x = 112,523.90