Finding the Third Proportional to 16.56 and 35.86

Step by Step Solution

1. Step 1: Write the proportion equation
   16.56 : 35.86 = 35.86 : x
2. Step 2: Convert to fraction form
   16.56/35.86 = 35.86/x
3. Step 3: Cross multiply
   16.56x = 35.86 × 35.86
4. Step 4: Simplify right side
   16.56x = 1,285.89
5. Step 5: Solve for x
   x = 1,285.89/16.56
6. Step 6: Final answer
   x = 77.66