Finding the Third Proportional to 30.75 and 71.88

Step by Step Solution

1. Step 1: Write the proportion equation
   30.75 : 71.88 = 71.88 : x
2. Step 2: Convert to fraction form
   30.75/71.88 = 71.88/x
3. Step 3: Cross multiply
   30.75x = 71.88 × 71.88
4. Step 4: Simplify right side
   30.75x = 5,166.02
5. Step 5: Solve for x
   x = 5,166.02/30.75
6. Step 6: Final answer
   x = 168.00