Finding the Third Proportional to 37.86 and 91.65

Step by Step Solution

1. Step 1: Write the proportion equation
   37.86 : 91.65 = 91.65 : x
2. Step 2: Convert to fraction form
   37.86/91.65 = 91.65/x
3. Step 3: Cross multiply
   37.86x = 91.65 × 91.65
4. Step 4: Simplify right side
   37.86x = 8,400.15
5. Step 5: Solve for x
   x = 8,400.15/37.86
6. Step 6: Final answer
   x = 221.85