Finding the Third Proportional to 16.56 and 35.46

Step by Step Solution

1. Step 1: Write the proportion equation
   16.56 : 35.46 = 35.46 : x
2. Step 2: Convert to fraction form
   16.56/35.46 = 35.46/x
3. Step 3: Cross multiply
   16.56x = 35.46 × 35.46
4. Step 4: Simplify right side
   16.56x = 1,257.69
5. Step 5: Solve for x
   x = 1,257.69/16.56
6. Step 6: Final answer
   x = 75.95