Finding the Third Proportional to 23,464 and 49,978

Step by Step Solution

1. Step 1: Write the proportion equation
   23,464 : 49,978 = 49,978 : x
2. Step 2: Convert to fraction form
   23,464/49,978 = 49,978/x
3. Step 3: Cross multiply
   23,464x = 49,978 × 49,978
4. Step 4: Simplify right side
   23,464x = 2,497,800,484
5. Step 5: Solve for x
   x = 2,497,800,484/23,464
6. Step 6: Final answer
   x = 106,452.46