Finding the Third Proportional to 32.69 and 46.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32.69 : 46.75 = 46.75 : x
2. Step 2: Convert to fraction form
   32.69/46.75 = 46.75/x
3. Step 3: Cross multiply
   32.69x = 46.75 × 46.75
4. Step 4: Simplify right side
   32.69x = 2,185.56
5. Step 5: Solve for x
   x = 2,185.56/32.69
6. Step 6: Final answer
   x = 66.86