Finding the Third Proportional to 17.69 and 38.58

Step by Step Solution

1. Step 1: Write the proportion equation
   17.69 : 38.58 = 38.58 : x
2. Step 2: Convert to fraction form
   17.69/38.58 = 38.58/x
3. Step 3: Cross multiply
   17.69x = 38.58 × 38.58
4. Step 4: Simplify right side
   17.69x = 1,488.17
5. Step 5: Solve for x
   x = 1,488.17/17.69
6. Step 6: Final answer
   x = 84.14