Finding the Third Proportional to 33.86 and 76.89

Step by Step Solution

1. Step 1: Write the proportion equation
   33.86 : 76.89 = 76.89 : x
2. Step 2: Convert to fraction form
   33.86/76.89 = 76.89/x
3. Step 3: Cross multiply
   33.86x = 76.89 × 76.89
4. Step 4: Simplify right side
   33.86x = 5,911.57
5. Step 5: Solve for x
   x = 5,911.57/33.86
6. Step 6: Final answer
   x = 174.61