Finding the Third Proportional to 17.89 and 37.65

Step by Step Solution

1. Step 1: Write the proportion equation
   17.89 : 37.65 = 37.65 : x
2. Step 2: Convert to fraction form
   17.89/37.65 = 37.65/x
3. Step 3: Cross multiply
   17.89x = 37.65 × 37.65
4. Step 4: Simplify right side
   17.89x = 1,417.70
5. Step 5: Solve for x
   x = 1,417.70/17.89
6. Step 6: Final answer
   x = 79.23