Finding the Third Proportional to 42.31 and 91.38

Step by Step Solution

1. Step 1: Write the proportion equation
   42.31 : 91.38 = 91.38 : x
2. Step 2: Convert to fraction form
   42.31/91.38 = 91.38/x
3. Step 3: Cross multiply
   42.31x = 91.38 × 91.38
4. Step 4: Simplify right side
   42.31x = 8,349.39
5. Step 5: Solve for x
   x = 8,349.39/42.31
6. Step 6: Final answer
   x = 197.33