Finding the Third Proportional to 38.88 and 100.94

Step by Step Solution

1. Step 1: Write the proportion equation
   38.88 : 100.94 = 100.94 : x
2. Step 2: Convert to fraction form
   38.88/100.94 = 100.94/x
3. Step 3: Cross multiply
   38.88x = 100.94 × 100.94
4. Step 4: Simplify right side
   38.88x = 10,188.38
5. Step 5: Solve for x
   x = 10,188.38/38.88
6. Step 6: Final answer
   x = 262.08