Finding the Third Proportional to 23,784 and 50,640

Step by Step Solution

1. Step 1: Write the proportion equation
   23,784 : 50,640 = 50,640 : x
2. Step 2: Convert to fraction form
   23,784/50,640 = 50,640/x
3. Step 3: Cross multiply
   23,784x = 50,640 × 50,640
4. Step 4: Simplify right side
   23,784x = 2,564,409,600
5. Step 5: Solve for x
   x = 2,564,409,600/23,784
6. Step 6: Final answer
   x = 107,820.79