Finding the Third Proportional to 15.82 and 32.59

Step by Step Solution

1. Step 1: Write the proportion equation
   15.82 : 32.59 = 32.59 : x
2. Step 2: Convert to fraction form
   15.82/32.59 = 32.59/x
3. Step 3: Cross multiply
   15.82x = 32.59 × 32.59
4. Step 4: Simplify right side
   15.82x = 1,062.10
5. Step 5: Solve for x
   x = 1,062.10/15.82
6. Step 6: Final answer
   x = 67.14