Finding the Third Proportional to 67.50 and 137.06

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 137.06 = 137.06 : x
2. Step 2: Convert to fraction form
   67.50/137.06 = 137.06/x
3. Step 3: Cross multiply
   67.50x = 137.06 × 137.06
4. Step 4: Simplify right side
   67.50x = 18,786.13
5. Step 5: Solve for x
   x = 18,786.13/67.50
6. Step 6: Final answer
   x = 278.31