Finding the Third Proportional to 15.34 and 31.81

Step by Step Solution

1. Step 1: Write the proportion equation
   15.34 : 31.81 = 31.81 : x
2. Step 2: Convert to fraction form
   15.34/31.81 = 31.81/x
3. Step 3: Cross multiply
   15.34x = 31.81 × 31.81
4. Step 4: Simplify right side
   15.34x = 1,012.04
5. Step 5: Solve for x
   x = 1,012.04/15.34
6. Step 6: Final answer
   x = 65.96