Finding the Third Proportional to 31.50 and 74.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 74.25 = 74.25 : x
2. Step 2: Convert to fraction form
   31.50/74.25 = 74.25/x
3. Step 3: Cross multiply
   31.50x = 74.25 × 74.25
4. Step 4: Simplify right side
   31.50x = 5,513.06
5. Step 5: Solve for x
   x = 5,513.06/31.50
6. Step 6: Final answer
   x = 175.02