Finding the Third Proportional to 34.25 and 72.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34.25 : 72.25 = 72.25 : x
2. Step 2: Convert to fraction form
   34.25/72.25 = 72.25/x
3. Step 3: Cross multiply
   34.25x = 72.25 × 72.25
4. Step 4: Simplify right side
   34.25x = 5,220.06
5. Step 5: Solve for x
   x = 5,220.06/34.25
6. Step 6: Final answer
   x = 152.41