Finding the Third Proportional to 47,184 and 73,647

Step by Step Solution

1. Step 1: Write the proportion equation
   47,184 : 73,647 = 73,647 : x
2. Step 2: Convert to fraction form
   47,184/73,647 = 73,647/x
3. Step 3: Cross multiply
   47,184x = 73,647 × 73,647
4. Step 4: Simplify right side
   47,184x = 5,423,880,609
5. Step 5: Solve for x
   x = 5,423,880,609/47,184
6. Step 6: Final answer
   x = 114,951.69