Finding the Third Proportional to 38.21 and 64.03

Step by Step Solution

1. Step 1: Write the proportion equation
   38.21 : 64.03 = 64.03 : x
2. Step 2: Convert to fraction form
   38.21/64.03 = 64.03/x
3. Step 3: Cross multiply
   38.21x = 64.03 × 64.03
4. Step 4: Simplify right side
   38.21x = 4,100.19
5. Step 5: Solve for x
   x = 4,100.19/38.21
6. Step 6: Final answer
   x = 107.32