Finding the Third Proportional to 17.31 and 38.05

Step by Step Solution

1. Step 1: Write the proportion equation
   17.31 : 38.05 = 38.05 : x
2. Step 2: Convert to fraction form
   17.31/38.05 = 38.05/x
3. Step 3: Cross multiply
   17.31x = 38.05 × 38.05
4. Step 4: Simplify right side
   17.31x = 1,447.86
5. Step 5: Solve for x
   x = 1,447.86/17.31
6. Step 6: Final answer
   x = 83.65