Finding the Third Proportional to 59.25 and 133.69

Step by Step Solution

1. Step 1: Write the proportion equation
   59.25 : 133.69 = 133.69 : x
2. Step 2: Convert to fraction form
   59.25/133.69 = 133.69/x
3. Step 3: Cross multiply
   59.25x = 133.69 × 133.69
4. Step 4: Simplify right side
   59.25x = 17,872.35
5. Step 5: Solve for x
   x = 17,872.35/59.25
6. Step 6: Final answer
   x = 301.64