Finding the Third Proportional to 32.50 and 73.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32.50 : 73.25 = 73.25 : x
2. Step 2: Convert to fraction form
   32.50/73.25 = 73.25/x
3. Step 3: Cross multiply
   32.50x = 73.25 × 73.25
4. Step 4: Simplify right side
   32.50x = 5,365.56
5. Step 5: Solve for x
   x = 5,365.56/32.50
6. Step 6: Final answer
   x = 165.09