Finding the Third Proportional to 35.96 and 78.57

Step by Step Solution

1. Step 1: Write the proportion equation
   35.96 : 78.57 = 78.57 : x
2. Step 2: Convert to fraction form
   35.96/78.57 = 78.57/x
3. Step 3: Cross multiply
   35.96x = 78.57 × 78.57
4. Step 4: Simplify right side
   35.96x = 6,173.91
5. Step 5: Solve for x
   x = 6,173.91/35.96
6. Step 6: Final answer
   x = 171.67