Finding the Third Proportional to 32.25 and 74.63

Step by Step Solution

1. Step 1: Write the proportion equation
   32.25 : 74.63 = 74.63 : x
2. Step 2: Convert to fraction form
   32.25/74.63 = 74.63/x
3. Step 3: Cross multiply
   32.25x = 74.63 × 74.63
4. Step 4: Simplify right side
   32.25x = 5,568.89
5. Step 5: Solve for x
   x = 5,568.89/32.25
6. Step 6: Final answer
   x = 172.68