Finding the Third Proportional to 66.87 and 100.09

Step by Step Solution

1. Step 1: Write the proportion equation
   66.87 : 100.09 = 100.09 : x
2. Step 2: Convert to fraction form
   66.87/100.09 = 100.09/x
3. Step 3: Cross multiply
   66.87x = 100.09 × 100.09
4. Step 4: Simplify right side
   66.87x = 10,017.98
5. Step 5: Solve for x
   x = 10,017.98/66.87
6. Step 6: Final answer
   x = 149.82