Finding the Third Proportional to 30.88 and 41.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30.88 : 41.50 = 41.50 : x
2. Step 2: Convert to fraction form
   30.88/41.50 = 41.50/x
3. Step 3: Cross multiply
   30.88x = 41.50 × 41.50
4. Step 4: Simplify right side
   30.88x = 1,722.25
5. Step 5: Solve for x
   x = 1,722.25/30.88
6. Step 6: Final answer
   x = 55.78