Finding the Third Proportional to 47.67 and 73.83

Step by Step Solution

1. Step 1: Write the proportion equation
   47.67 : 73.83 = 73.83 : x
2. Step 2: Convert to fraction form
   47.67/73.83 = 73.83/x
3. Step 3: Cross multiply
   47.67x = 73.83 × 73.83
4. Step 4: Simplify right side
   47.67x = 5,450.59
5. Step 5: Solve for x
   x = 5,450.59/47.67
6. Step 6: Final answer
   x = 114.34