Finding the Third Proportional to 38.44 and 100.03

Step by Step Solution

1. Step 1: Write the proportion equation
   38.44 : 100.03 = 100.03 : x
2. Step 2: Convert to fraction form
   38.44/100.03 = 100.03/x
3. Step 3: Cross multiply
   38.44x = 100.03 × 100.03
4. Step 4: Simplify right side
   38.44x = 10,006.25
5. Step 5: Solve for x
   x = 10,006.25/38.44
6. Step 6: Final answer
   x = 260.33