Finding the Third Proportional to 47.94 and 71.59

Step by Step Solution

1. Step 1: Write the proportion equation
   47.94 : 71.59 = 71.59 : x
2. Step 2: Convert to fraction form
   47.94/71.59 = 71.59/x
3. Step 3: Cross multiply
   47.94x = 71.59 × 71.59
4. Step 4: Simplify right side
   47.94x = 5,125.67
5. Step 5: Solve for x
   x = 5,125.67/47.94
6. Step 6: Final answer
   x = 106.92