Finding the Third Proportional to 34.25 and 78.88

Step by Step Solution

1. Step 1: Write the proportion equation
   34.25 : 78.88 = 78.88 : x
2. Step 2: Convert to fraction form
   34.25/78.88 = 78.88/x
3. Step 3: Cross multiply
   34.25x = 78.88 × 78.88
4. Step 4: Simplify right side
   34.25x = 6,221.27
5. Step 5: Solve for x
   x = 6,221.27/34.25
6. Step 6: Final answer
   x = 181.64