Finding the Third Proportional to 16.25 and 35.06

Step by Step Solution

1. Step 1: Write the proportion equation
   16.25 : 35.06 = 35.06 : x
2. Step 2: Convert to fraction form
   16.25/35.06 = 35.06/x
3. Step 3: Cross multiply
   16.25x = 35.06 × 35.06
4. Step 4: Simplify right side
   16.25x = 1,229.38
5. Step 5: Solve for x
   x = 1,229.38/16.25
6. Step 6: Final answer
   x = 75.65