Finding the Third Proportional to 33,216 and 50,784

Step by Step Solution

1. Step 1: Write the proportion equation
   33,216 : 50,784 = 50,784 : x
2. Step 2: Convert to fraction form
   33,216/50,784 = 50,784/x
3. Step 3: Cross multiply
   33,216x = 50,784 × 50,784
4. Step 4: Simplify right side
   33,216x = 2,579,014,656
5. Step 5: Solve for x
   x = 2,579,014,656/33,216
6. Step 6: Final answer
   x = 77,643.75