Finding the Third Proportional to 71.75 and 108.75

Step by Step Solution

1. Step 1: Write the proportion equation
   71.75 : 108.75 = 108.75 : x
2. Step 2: Convert to fraction form
   71.75/108.75 = 108.75/x
3. Step 3: Cross multiply
   71.75x = 108.75 × 108.75
4. Step 4: Simplify right side
   71.75x = 11,826.56
5. Step 5: Solve for x
   x = 11,826.56/71.75
6. Step 6: Final answer
   x = 164.83