Finding the Third Proportional to 164.50 and 169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164.50 : 169.50 = 169.50 : x
2. Step 2: Convert to fraction form
   164.50/169.50 = 169.50/x
3. Step 3: Cross multiply
   164.50x = 169.50 × 169.50
4. Step 4: Simplify right side
   164.50x = 28,730.25
5. Step 5: Solve for x
   x = 28,730.25/164.50
6. Step 6: Final answer
   x = 174.65