Finding the Third Proportional to 23,784 and 49,008

Step by Step Solution

1. Step 1: Write the proportion equation
   23,784 : 49,008 = 49,008 : x
2. Step 2: Convert to fraction form
   23,784/49,008 = 49,008/x
3. Step 3: Cross multiply
   23,784x = 49,008 × 49,008
4. Step 4: Simplify right side
   23,784x = 2,401,784,064
5. Step 5: Solve for x
   x = 2,401,784,064/23,784
6. Step 6: Final answer
   x = 100,983.18