Finding the Third Proportional to 23,414 and 49,580

Step by Step Solution

1. Step 1: Write the proportion equation
   23,414 : 49,580 = 49,580 : x
2. Step 2: Convert to fraction form
   23,414/49,580 = 49,580/x
3. Step 3: Cross multiply
   23,414x = 49,580 × 49,580
4. Step 4: Simplify right side
   23,414x = 2,458,176,400
5. Step 5: Solve for x
   x = 2,458,176,400/23,414
6. Step 6: Final answer
   x = 104,987.46