Finding the Third Proportional to 68.69 and 100.09

Step by Step Solution

1. Step 1: Write the proportion equation
   68.69 : 100.09 = 100.09 : x
2. Step 2: Convert to fraction form
   68.69/100.09 = 100.09/x
3. Step 3: Cross multiply
   68.69x = 100.09 × 100.09
4. Step 4: Simplify right side
   68.69x = 10,018.76
5. Step 5: Solve for x
   x = 10,018.76/68.69
6. Step 6: Final answer
   x = 145.86