Finding the Third Proportional to 33,184 and 49,684

Step by Step Solution

1. Step 1: Write the proportion equation
   33,184 : 49,684 = 49,684 : x
2. Step 2: Convert to fraction form
   33,184/49,684 = 49,684/x
3. Step 3: Cross multiply
   33,184x = 49,684 × 49,684
4. Step 4: Simplify right side
   33,184x = 2,468,499,856
5. Step 5: Solve for x
   x = 2,468,499,856/33,184
6. Step 6: Final answer
   x = 74,388.26