Finding the Third Proportional to 41.63 and 72.94

Step by Step Solution

1. Step 1: Write the proportion equation
   41.63 : 72.94 = 72.94 : x
2. Step 2: Convert to fraction form
   41.63/72.94 = 72.94/x
3. Step 3: Cross multiply
   41.63x = 72.94 × 72.94
4. Step 4: Simplify right side
   41.63x = 5,319.88
5. Step 5: Solve for x
   x = 5,319.88/41.63
6. Step 6: Final answer
   x = 127.80