Finding the Third Proportional to 38.25 and 52.31

Step by Step Solution

1. Step 1: Write the proportion equation
   38.25 : 52.31 = 52.31 : x
2. Step 2: Convert to fraction form
   38.25/52.31 = 52.31/x
3. Step 3: Cross multiply
   38.25x = 52.31 × 52.31
4. Step 4: Simplify right side
   38.25x = 2,736.60
5. Step 5: Solve for x
   x = 2,736.60/38.25
6. Step 6: Final answer
   x = 71.55