Finding the Third Proportional to 16.27 and 35.77

Step by Step Solution

1. Step 1: Write the proportion equation
   16.27 : 35.77 = 35.77 : x
2. Step 2: Convert to fraction form
   16.27/35.77 = 35.77/x
3. Step 3: Cross multiply
   16.27x = 35.77 × 35.77
4. Step 4: Simplify right side
   16.27x = 1,279.18
5. Step 5: Solve for x
   x = 1,279.18/16.27
6. Step 6: Final answer
   x = 78.64