Finding the Third Proportional to 16.63 and 35.69

Step by Step Solution

1. Step 1: Write the proportion equation
   16.63 : 35.69 = 35.69 : x
2. Step 2: Convert to fraction form
   16.63/35.69 = 35.69/x
3. Step 3: Cross multiply
   16.63x = 35.69 × 35.69
4. Step 4: Simplify right side
   16.63x = 1,273.60
5. Step 5: Solve for x
   x = 1,273.60/16.63
6. Step 6: Final answer
   x = 76.61