Finding the Third Proportional to 40.22 and 86.34

Step by Step Solution

1. Step 1: Write the proportion equation
   40.22 : 86.34 = 86.34 : x
2. Step 2: Convert to fraction form
   40.22/86.34 = 86.34/x
3. Step 3: Cross multiply
   40.22x = 86.34 × 86.34
4. Step 4: Simplify right side
   40.22x = 7,455.24
5. Step 5: Solve for x
   x = 7,455.24/40.22
6. Step 6: Final answer
   x = 185.37