Finding the Third Proportional to 2.89 and 7.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2.89 : 7.50 = 7.50 : x
2. Step 2: Convert to fraction form
   2.89/7.50 = 7.50/x
3. Step 3: Cross multiply
   2.89x = 7.50 × 7.50
4. Step 4: Simplify right side
   2.89x = 56.31
5. Step 5: Solve for x
   x = 56.31/2.89
6. Step 6: Final answer
   x = 19.49