Finding the Third Proportional to 23,128 and 54,578

Step by Step Solution

1. Step 1: Write the proportion equation
   23,128 : 54,578 = 54,578 : x
2. Step 2: Convert to fraction form
   23,128/54,578 = 54,578/x
3. Step 3: Cross multiply
   23,128x = 54,578 × 54,578
4. Step 4: Simplify right side
   23,128x = 2,978,758,084
5. Step 5: Solve for x
   x = 2,978,758,084/23,128
6. Step 6: Final answer
   x = 128,794.45