Finding the Third Proportional to 33.50 and 46.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33.50 : 46.63 = 46.63 : x
2. Step 2: Convert to fraction form
   33.50/46.63 = 46.63/x
3. Step 3: Cross multiply
   33.50x = 46.63 × 46.63
4. Step 4: Simplify right side
   33.50x = 2,173.89
5. Step 5: Solve for x
   x = 2,173.89/33.50
6. Step 6: Final answer
   x = 64.89