Finding the Third Proportional to 16.42 and 35.00

Step by Step Solution

1. Step 1: Write the proportion equation
   16.42 : 35.00 = 35.00 : x
2. Step 2: Convert to fraction form
   16.42/35.00 = 35.00/x
3. Step 3: Cross multiply
   16.42x = 35.00 × 35.00
4. Step 4: Simplify right side
   16.42x = 1,224.73
5. Step 5: Solve for x
   x = 1,224.73/16.42
6. Step 6: Final answer
   x = 74.58