Finding the Third Proportional to 23,096 and 50,224

Step by Step Solution

1. Step 1: Write the proportion equation
   23,096 : 50,224 = 50,224 : x
2. Step 2: Convert to fraction form
   23,096/50,224 = 50,224/x
3. Step 3: Cross multiply
   23,096x = 50,224 × 50,224
4. Step 4: Simplify right side
   23,096x = 2,522,450,176
5. Step 5: Solve for x
   x = 2,522,450,176/23,096
6. Step 6: Final answer
   x = 109,215.89