Finding the Third Proportional to 67.50 and 133.31

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 133.31 = 133.31 : x
2. Step 2: Convert to fraction form
   67.50/133.31 = 133.31/x
3. Step 3: Cross multiply
   67.50x = 133.31 × 133.31
4. Step 4: Simplify right side
   67.50x = 17,772.22
5. Step 5: Solve for x
   x = 17,772.22/67.50
6. Step 6: Final answer
   x = 263.29