Finding the Third Proportional to 16.50 and 35.48

Step by Step Solution

1. Step 1: Write the proportion equation
   16.50 : 35.48 = 35.48 : x
2. Step 2: Convert to fraction form
   16.50/35.48 = 35.48/x
3. Step 3: Cross multiply
   16.50x = 35.48 × 35.48
4. Step 4: Simplify right side
   16.50x = 1,259.14
5. Step 5: Solve for x
   x = 1,259.14/16.50
6. Step 6: Final answer
   x = 76.31