Finding the Third Proportional to 72.50 and 165.75

Step by Step Solution

1. Step 1: Write the proportion equation
   72.50 : 165.75 = 165.75 : x
2. Step 2: Convert to fraction form
   72.50/165.75 = 165.75/x
3. Step 3: Cross multiply
   72.50x = 165.75 × 165.75
4. Step 4: Simplify right side
   72.50x = 27,473.06
5. Step 5: Solve for x
   x = 27,473.06/72.50
6. Step 6: Final answer
   x = 378.94