Finding the Third Proportional to 164.75 and 187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164.75 : 187.50 = 187.50 : x
2. Step 2: Convert to fraction form
   164.75/187.50 = 187.50/x
3. Step 3: Cross multiply
   164.75x = 187.50 × 187.50
4. Step 4: Simplify right side
   164.75x = 35,156.25
5. Step 5: Solve for x
   x = 35,156.25/164.75
6. Step 6: Final answer
   x = 213.39