Finding the Third Proportional to 23,584 and 34,836

Step by Step Solution

1. Step 1: Write the proportion equation
   23,584 : 34,836 = 34,836 : x
2. Step 2: Convert to fraction form
   23,584/34,836 = 34,836/x
3. Step 3: Cross multiply
   23,584x = 34,836 × 34,836
4. Step 4: Simplify right side
   23,584x = 1,213,546,896
5. Step 5: Solve for x
   x = 1,213,546,896/23,584
6. Step 6: Final answer
   x = 51,456.36