Finding the Third Proportional to 32.06 and 41.77

Step by Step Solution

1. Step 1: Write the proportion equation
   32.06 : 41.77 = 41.77 : x
2. Step 2: Convert to fraction form
   32.06/41.77 = 41.77/x
3. Step 3: Cross multiply
   32.06x = 41.77 × 41.77
4. Step 4: Simplify right side
   32.06x = 1,744.37
5. Step 5: Solve for x
   x = 1,744.37/32.06
6. Step 6: Final answer
   x = 54.41