Finding the Third Proportional to 41.77 and 85.43

Step by Step Solution

1. Step 1: Write the proportion equation
   41.77 : 85.43 = 85.43 : x
2. Step 2: Convert to fraction form
   41.77/85.43 = 85.43/x
3. Step 3: Cross multiply
   41.77x = 85.43 × 85.43
4. Step 4: Simplify right side
   41.77x = 7,298.23
5. Step 5: Solve for x
   x = 7,298.23/41.77
6. Step 6: Final answer
   x = 174.74