Finding the Third Proportional to 42.71 and 91.60

Step by Step Solution

1. Step 1: Write the proportion equation
   42.71 : 91.60 = 91.60 : x
2. Step 2: Convert to fraction form
   42.71/91.60 = 91.60/x
3. Step 3: Cross multiply
   42.71x = 91.60 × 91.60
4. Step 4: Simplify right side
   42.71x = 8,390.49
5. Step 5: Solve for x
   x = 8,390.49/42.71
6. Step 6: Final answer
   x = 196.43