Finding the Third Proportional to 34.38 and 53.31

Step by Step Solution

1. Step 1: Write the proportion equation
   34.38 : 53.31 = 53.31 : x
2. Step 2: Convert to fraction form
   34.38/53.31 = 53.31/x
3. Step 3: Cross multiply
   34.38x = 53.31 × 53.31
4. Step 4: Simplify right side
   34.38x = 2,842.22
5. Step 5: Solve for x
   x = 2,842.22/34.38
6. Step 6: Final answer
   x = 82.68