Finding the Third Proportional to 66.63 and 103.63

Step by Step Solution

1. Step 1: Write the proportion equation
   66.63 : 103.63 = 103.63 : x
2. Step 2: Convert to fraction form
   66.63/103.63 = 103.63/x
3. Step 3: Cross multiply
   66.63x = 103.63 × 103.63
4. Step 4: Simplify right side
   66.63x = 10,738.14
5. Step 5: Solve for x
   x = 10,738.14/66.63
6. Step 6: Final answer
   x = 161.17