Finding the Third Proportional to 43.64 and 86.17

Step by Step Solution

1. Step 1: Write the proportion equation
   43.64 : 86.17 = 86.17 : x
2. Step 2: Convert to fraction form
   43.64/86.17 = 86.17/x
3. Step 3: Cross multiply
   43.64x = 86.17 × 86.17
4. Step 4: Simplify right side
   43.64x = 7,425.59
5. Step 5: Solve for x
   x = 7,425.59/43.64
6. Step 6: Final answer
   x = 170.15