Finding the Third Proportional to 35.24 and 53.31

Step by Step Solution

1. Step 1: Write the proportion equation
   35.24 : 53.31 = 53.31 : x
2. Step 2: Convert to fraction form
   35.24/53.31 = 53.31/x
3. Step 3: Cross multiply
   35.24x = 53.31 × 53.31
4. Step 4: Simplify right side
   35.24x = 2,842.43
5. Step 5: Solve for x
   x = 2,842.43/35.24
6. Step 6: Final answer
   x = 80.66