Finding the Third Proportional to 38.25 and 91.31

Step by Step Solution

1. Step 1: Write the proportion equation
   38.25 : 91.31 = 91.31 : x
2. Step 2: Convert to fraction form
   38.25/91.31 = 91.31/x
3. Step 3: Cross multiply
   38.25x = 91.31 × 91.31
4. Step 4: Simplify right side
   38.25x = 8,337.97
5. Step 5: Solve for x
   x = 8,337.97/38.25
6. Step 6: Final answer
   x = 217.99