Finding the Third Proportional to 67.50 and 89.81

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 89.81 = 89.81 : x
2. Step 2: Convert to fraction form
   67.50/89.81 = 89.81/x
3. Step 3: Cross multiply
   67.50x = 89.81 × 89.81
4. Step 4: Simplify right side
   67.50x = 8,066.29
5. Step 5: Solve for x
   x = 8,066.29/67.50
6. Step 6: Final answer
   x = 119.50