Finding the Third Proportional to 68.56 and 100.81

Step by Step Solution

1. Step 1: Write the proportion equation
   68.56 : 100.81 = 100.81 : x
2. Step 2: Convert to fraction form
   68.56/100.81 = 100.81/x
3. Step 3: Cross multiply
   68.56x = 100.81 × 100.81
4. Step 4: Simplify right side
   68.56x = 10,163.16
5. Step 5: Solve for x
   x = 10,163.16/68.56
6. Step 6: Final answer
   x = 148.23