Finding the Third Proportional to 23,200 and 50,582

Step by Step Solution

1. Step 1: Write the proportion equation
   23,200 : 50,582 = 50,582 : x
2. Step 2: Convert to fraction form
   23,200/50,582 = 50,582/x
3. Step 3: Cross multiply
   23,200x = 50,582 × 50,582
4. Step 4: Simplify right side
   23,200x = 2,558,538,724
5. Step 5: Solve for x
   x = 2,558,538,724/23,200
6. Step 6: Final answer
   x = 110,281.84