Finding the Third Proportional to 16.59 and 35.58

Step by Step Solution

1. Step 1: Write the proportion equation
   16.59 : 35.58 = 35.58 : x
2. Step 2: Convert to fraction form
   16.59/35.58 = 35.58/x
3. Step 3: Cross multiply
   16.59x = 35.58 × 35.58
4. Step 4: Simplify right side
   16.59x = 1,265.80
5. Step 5: Solve for x
   x = 1,265.80/16.59
6. Step 6: Final answer
   x = 76.28