Finding the Third Proportional to 72.25 and 157.25

Step by Step Solution

1. Step 1: Write the proportion equation
   72.25 : 157.25 = 157.25 : x
2. Step 2: Convert to fraction form
   72.25/157.25 = 157.25/x
3. Step 3: Cross multiply
   72.25x = 157.25 × 157.25
4. Step 4: Simplify right side
   72.25x = 24,727.56
5. Step 5: Solve for x
   x = 24,727.56/72.25
6. Step 6: Final answer
   x = 342.25