Finding the Third Proportional to 47.94 and 83.56

Step by Step Solution

1. Step 1: Write the proportion equation
   47.94 : 83.56 = 83.56 : x
2. Step 2: Convert to fraction form
   47.94/83.56 = 83.56/x
3. Step 3: Cross multiply
   47.94x = 83.56 × 83.56
4. Step 4: Simplify right side
   47.94x = 6,982.69
5. Step 5: Solve for x
   x = 6,982.69/47.94
6. Step 6: Final answer
   x = 145.66