Finding the Third Proportional to 30.94 and 71.88

Step by Step Solution

1. Step 1: Write the proportion equation
   30.94 : 71.88 = 71.88 : x
2. Step 2: Convert to fraction form
   30.94/71.88 = 71.88/x
3. Step 3: Cross multiply
   30.94x = 71.88 × 71.88
4. Step 4: Simplify right side
   30.94x = 5,166.02
5. Step 5: Solve for x
   x = 5,166.02/30.94
6. Step 6: Final answer
   x = 166.98