Finding the Third Proportional to 23,856 and 35,784

Step by Step Solution

1. Step 1: Write the proportion equation
   23,856 : 35,784 = 35,784 : x
2. Step 2: Convert to fraction form
   23,856/35,784 = 35,784/x
3. Step 3: Cross multiply
   23,856x = 35,784 × 35,784
4. Step 4: Simplify right side
   23,856x = 1,280,494,656
5. Step 5: Solve for x
   x = 1,280,494,656/23,856
6. Step 6: Final answer
   x = 53,676