Finding the Third Proportional to 17.12 and 37.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17.12 : 37.56 = 37.56 : x
2. Step 2: Convert to fraction form
   17.12/37.56 = 37.56/x
3. Step 3: Cross multiply
   17.12x = 37.56 × 37.56
4. Step 4: Simplify right side
   17.12x = 1,410.43
5. Step 5: Solve for x
   x = 1,410.43/17.12
6. Step 6: Final answer
   x = 82.38