Finding the Third Proportional to 25,101 and 54,578

Step by Step Solution

1. Step 1: Write the proportion equation
   25,101 : 54,578 = 54,578 : x
2. Step 2: Convert to fraction form
   25,101/54,578 = 54,578/x
3. Step 3: Cross multiply
   25,101x = 54,578 × 54,578
4. Step 4: Simplify right side
   25,101x = 2,978,758,084
5. Step 5: Solve for x
   x = 2,978,758,084/25,101
6. Step 6: Final answer
   x = 118,670.89