Finding the Third Proportional to 16.46 and 35.80

Step by Step Solution

1. Step 1: Write the proportion equation
   16.46 : 35.80 = 35.80 : x
2. Step 2: Convert to fraction form
   16.46/35.80 = 35.80/x
3. Step 3: Cross multiply
   16.46x = 35.80 × 35.80
4. Step 4: Simplify right side
   16.46x = 1,281.69
5. Step 5: Solve for x
   x = 1,281.69/16.46
6. Step 6: Final answer
   x = 77.88