Finding the Third Proportional to 71.82 and 114.22

Step by Step Solution

1. Step 1: Write the proportion equation
   71.82 : 114.22 = 114.22 : x
2. Step 2: Convert to fraction form
   71.82/114.22 = 114.22/x
3. Step 3: Cross multiply
   71.82x = 114.22 × 114.22
4. Step 4: Simplify right side
   71.82x = 13,046.82
5. Step 5: Solve for x
   x = 13,046.82/71.82
6. Step 6: Final answer
   x = 181.65