Finding the Third Proportional to 23,578 and 49,880

Step by Step Solution

1. Step 1: Write the proportion equation
   23,578 : 49,880 = 49,880 : x
2. Step 2: Convert to fraction form
   23,578/49,880 = 49,880/x
3. Step 3: Cross multiply
   23,578x = 49,880 × 49,880
4. Step 4: Simplify right side
   23,578x = 2,488,014,400
5. Step 5: Solve for x
   x = 2,488,014,400/23,578
6. Step 6: Final answer
   x = 105,522.71