Finding the Third Proportional to 17.82 and 39.02

Step by Step Solution

1. Step 1: Write the proportion equation
   17.82 : 39.02 = 39.02 : x
2. Step 2: Convert to fraction form
   17.82/39.02 = 39.02/x
3. Step 3: Cross multiply
   17.82x = 39.02 × 39.02
4. Step 4: Simplify right side
   17.82x = 1,522.83
5. Step 5: Solve for x
   x = 1,522.83/17.82
6. Step 6: Final answer
   x = 85.44