Finding the Third Proportional to 67.50 and 134.63

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 134.63 = 134.63 : x
2. Step 2: Convert to fraction form
   67.50/134.63 = 134.63/x
3. Step 3: Cross multiply
   67.50x = 134.63 × 134.63
4. Step 4: Simplify right side
   67.50x = 18,123.89
5. Step 5: Solve for x
   x = 18,123.89/67.50
6. Step 6: Final answer
   x = 268.50