Finding the Third Proportional to 10.71 and 15.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10.71 : 15.82 = 15.82 : x
2. Step 2: Convert to fraction form
   10.71/15.82 = 15.82/x
3. Step 3: Cross multiply
   10.71x = 15.82 × 15.82
4. Step 4: Simplify right side
   10.71x = 250.28
5. Step 5: Solve for x
   x = 250.28/10.71
6. Step 6: Final answer
   x = 23.38