Finding the Third Proportional to 37.27 and 91.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37.27 : 91.69 = 91.69 : x
2. Step 2: Convert to fraction form
   37.27/91.69 = 91.69/x
3. Step 3: Cross multiply
   37.27x = 91.69 × 91.69
4. Step 4: Simplify right side
   37.27x = 8,406.60
5. Step 5: Solve for x
   x = 8,406.60/37.27
6. Step 6: Final answer
   x = 225.59