Finding the Third Proportional to 50,224 and 75,984

Step by Step Solution

1. Step 1: Write the proportion equation
   50,224 : 75,984 = 75,984 : x
2. Step 2: Convert to fraction form
   50,224/75,984 = 75,984/x
3. Step 3: Cross multiply
   50,224x = 75,984 × 75,984
4. Step 4: Simplify right side
   50,224x = 5,773,568,256
5. Step 5: Solve for x
   x = 5,773,568,256/50,224
6. Step 6: Final answer
   x = 114,956.36