Finding the Third Proportional to 47,184 and 73,631.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,184 : 73,631.25 = 73,631.25 : x
2. Step 2: Convert to fraction form
   47,184/73,631.25 = 73,631.25/x
3. Step 3: Cross multiply
   47,184x = 73,631.25 × 73,631.25
4. Step 4: Simplify right side
   47,184x = 5,421,560,976.56
5. Step 5: Solve for x
   x = 5,421,560,976.56/47,184
6. Step 6: Final answer
   x = 114,902.53