Finding the Third Proportional to 37.75 and 64.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37.75 : 64.38 = 64.38 : x
2. Step 2: Convert to fraction form
   37.75/64.38 = 64.38/x
3. Step 3: Cross multiply
   37.75x = 64.38 × 64.38
4. Step 4: Simplify right side
   37.75x = 4,144.14
5. Step 5: Solve for x
   x = 4,144.14/37.75
6. Step 6: Final answer
   x = 109.78