Finding the Third Proportional to 23,094 and 49,642

Step by Step Solution

1. Step 1: Write the proportion equation
   23,094 : 49,642 = 49,642 : x
2. Step 2: Convert to fraction form
   23,094/49,642 = 49,642/x
3. Step 3: Cross multiply
   23,094x = 49,642 × 49,642
4. Step 4: Simplify right side
   23,094x = 2,464,328,164
5. Step 5: Solve for x
   x = 2,464,328,164/23,094
6. Step 6: Final answer
   x = 106,708.59