Finding the Third Proportional to 53.56 and 80.31

Step by Step Solution

1. Step 1: Write the proportion equation
   53.56 : 80.31 = 80.31 : x
2. Step 2: Convert to fraction form
   53.56/80.31 = 80.31/x
3. Step 3: Cross multiply
   53.56x = 80.31 × 80.31
4. Step 4: Simplify right side
   53.56x = 6,450.10
5. Step 5: Solve for x
   x = 6,450.10/53.56
6. Step 6: Final answer
   x = 120.42