Finding the Third Proportional to 23,586 and 51,336

Step by Step Solution

1. Step 1: Write the proportion equation
   23,586 : 51,336 = 51,336 : x
2. Step 2: Convert to fraction form
   23,586/51,336 = 51,336/x
3. Step 3: Cross multiply
   23,586x = 51,336 × 51,336
4. Step 4: Simplify right side
   23,586x = 2,635,384,896
5. Step 5: Solve for x
   x = 2,635,384,896/23,586
6. Step 6: Final answer
   x = 111,735.14