Finding the Third Proportional to 47.83 and 102.80

Step by Step Solution

1. Step 1: Write the proportion equation
   47.83 : 102.80 = 102.80 : x
2. Step 2: Convert to fraction form
   47.83/102.80 = 102.80/x
3. Step 3: Cross multiply
   47.83x = 102.80 × 102.80
4. Step 4: Simplify right side
   47.83x = 10,568.54
5. Step 5: Solve for x
   x = 10,568.54/47.83
6. Step 6: Final answer
   x = 220.97