Finding the Third Proportional to 65.53 and 104.63

Step by Step Solution

1. Step 1: Write the proportion equation
   65.53 : 104.63 = 104.63 : x
2. Step 2: Convert to fraction form
   65.53/104.63 = 104.63/x
3. Step 3: Cross multiply
   65.53x = 104.63 × 104.63
4. Step 4: Simplify right side
   65.53x = 10,946.39
5. Step 5: Solve for x
   x = 10,946.39/65.53
6. Step 6: Final answer
   x = 167.04