Finding the Third Proportional to 41.77 and 64.55

Step by Step Solution

1. Step 1: Write the proportion equation
   41.77 : 64.55 = 64.55 : x
2. Step 2: Convert to fraction form
   41.77/64.55 = 64.55/x
3. Step 3: Cross multiply
   41.77x = 64.55 × 64.55
4. Step 4: Simplify right side
   41.77x = 4,166.30
5. Step 5: Solve for x
   x = 4,166.30/41.77
6. Step 6: Final answer
   x = 99.75