Finding the Third Proportional to 37.31 and 64.41

Step by Step Solution

1. Step 1: Write the proportion equation
   37.31 : 64.41 = 64.41 : x
2. Step 2: Convert to fraction form
   37.31/64.41 = 64.41/x
3. Step 3: Cross multiply
   37.31x = 64.41 × 64.41
4. Step 4: Simplify right side
   37.31x = 4,148.17
5. Step 5: Solve for x
   x = 4,148.17/37.31
6. Step 6: Final answer
   x = 111.17